Applied Mathematics and Optimization

Article	Citations
Null Boundary Controllability of the Linear Kuramoto–Sivashinsky Equation with Variable Coefficients	25
Multidomain Optimal Control of Variational Subpotential Mixed Evolution Inclusions	21
Linear-Quadratic Mean-Field Backward Stackelberg Game with Mixed Terminal Perturbation	20
The Sticky Particle Dynamics of the 1D Pressureless Euler-Alignment System as a Gradient Flow	19
Newton-Type Inertial Algorithms for Solving Monotone Equations Governed by Sums of Potential and Nonpotential Operators	17
Porous-elastic Plates: Fourier Versus Type III	16
A Nonlocal Cahn–Hilliard–Darcy System with Singular Potential, Degenerate Mobility, and Sources	16
A Piecewise Deterministic Limit for a Multiscale Stochastic Spatial Gene Network	14
Differentiability Properties for Boundary Control of Fluid-Structure Interactions of Linear Elasticity with Navier-Stokes Equations with Mixed-Boundary Conditions in a Channel	13
Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions	13
Classical and Quantum Controllability of a Rotating Asymmetric Molecule	13
Optimal Distributed Control for a Viscous Non-local Tumour Growth Model	12
A Spatial Pareto Exchange Economy Problem	12
Evolutionary Quasi-variational Hemivariational Inequalities: Existence and Parameter Identification	12
Stackelberg–Nash Null Controllability for a Non Linear Coupled Degenerate Parabolic Equations	12
The Cost of Null Controllability for a Backward Stochastic Degenerate Parabolic Equation in the Vanishing Viscosity Limit	11
A Nesterov Type Algorithm with Double Tikhonov Regularization: Fast Convergence of the Function Values and Strong Convergence to the Minimal Norm Solution	10
An Extended McKean–Vlasov Dynamic Programming Approach to Robust Equilibrium Controls Under Ambiguous Covariance Matrix	10
Inverse Coefficient Problem for the Coupled System of Fourth and Second Order Partial Differential Equations	10
Irreducibility of Stochastic Complex Ginzburg-Landau Equations Driven by Pure Jump Noise and Its Applications	10
Sensitivity Analysis and Optimal Control for a Friction Problem in the Linear Elastic Model	9
On Explicit Abstract Neutral Differential Equations with State-Dependent Delay	9
Optimal Control of a Nonlinear PDE Governed by Fractional Laplacian	8
Relationship Between the Maximum Principle and Dynamic Programming for Minimax Problems	8
Singular Control of the Drift of a Brownian System	8

Optimal Control for Suppression of Singularity in Chemotaxis via Flow Advection	8
Linear Quadratic Optimal Control Problems of Delayed Backward Stochastic Differential Equations	8
The Stochastic Gierer–Meinhardt System	8
Subexponential Upper and Lower Bounds in Wasserstein Distance for Markov Processes	7
Normality, Controllability and Properness in Optimal Control	7
On the Local Existence of Solutions to the Fluid–Structure Interaction Problem with a Free Interface	7
On the One-Dimensional Singular Abreu Equations	7
Approximation to Stochastic Variance Reduced Gradient Langevin Dynamics by Stochastic Delay Differential Equations	7
Bilinear Control of Convection-Cooling: From Open-Loop to Closed-Loop	7
Remarks on the Vanishing Viscosity Process of State-Constraint Hamilton–Jacobi Equations	6
Path-Dependent Hamilton–Jacobi Equations: The Minimax Solutions Revised	6
Viscosity Solutions of the Eikonal Equation on the Wasserstein Space	6
Local and Global Existence and Uniqueness of Solution and Local Well-Posednesss for Abstract Fractional Differential Equations with State-Dependent Delay	6
Low Perturbations and Combined Effects of Critical and Singular Nonlinearities in Kirchhoff Problems	6
On Quasi-Stationary Mean Field Games of Controls	6
SIR Epidemics with State-Dependent Costs and ICU Constraints: A Hamilton–Jacobi Verification Argument and Dual LP Algorithms	6
Analysis of District Heating Networks	6
Stability in Set-Valued Optimization Problems Using Asymptotic Analysis and Epi-Convergence	6
Deterministic Control of SDEs with Stochastic Drift and Multiplicative Noise: A Variational Approach	6
Pullback Measure Attractors for Non-autonomous Fractional Stochastic Reaction-Diffusion Equations on Unbounded Domains	6
Exact Internal Controllability for a Problem with Imperfect Interface	6
Infinite Time Blow-Up of Solutions for A Class of Logarithmic Wave Equations with Arbitrary High Initial Energy	6
Local Turnpike Analysis Using Local Dissipativity for Discrete Time Discounted Optimal Control	6
Accelerated Gradient Methods Combining Tikhonov Regularization with Geometric Damping Driven by the Hessian	6
Entropic Approximation of $$\infty $$-Optimal Transport Problems	6
Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting	6
Multiple Positive Solutions for Quasilinear Elliptic Problems in Expanding Domains	5
Systems of Fully Nonlinear Parabolic Obstacle Problems with Neumann Boundary Conditions	5
Comparative Analysis of Obstacle Approximation Strategies for the Steady Incompressible Navier–Stokes Equations	5
Generalized Differentiation of Probability Functions: Parameter Dependent Sets Given by Intersections of Convex Sets and Complements of Convex Sets	5
Long Run Stochastic Control Problems with General Discounting	5
Stackelberg Game Approach to Mixed Stochastic $$H_{2}/H_{\infty }$$ Control for Mean-Field Jump-Diffusions Systems	5
Fast Continuous Dynamics Inside the Graph of Subdifferentials of Nonsmooth Convex Functions	5
Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds	5
Differential Stability of Discrete Optimal Control Problems with Possibly Nondifferentiable Costs	5
Qualitative Analysis for a Degenerate Kirchhoff-Type Diffusion Equation Involving the Fractional p-Laplacian	5
Shape-Programming in Hyperelasticity Through Differential Growth	5
Reverse Isoperimetric Inequality for the Lowest Robin Eigenvalue of a Triangle	5
Analysis of the Finite-State Ergodic Master Equation	5
Existence, Comparison, and Convergence Results for a Class of Elliptic Hemivariational Inequalities	5
On the Small-Mass Limit for Stationary Solutions of Stochastic Wave Equations with State Dependent Friction	5
Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems	5
Optimality of Vaccination for Prevalence-Constrained SIRS Epidemics	5
Functional Law of Large Numbers and PDEs for Epidemic Models with Infection-Age Dependent Infectivity	5
Uniform Stabilization for the Semi-linear Wave Equation with Nonlinear Kelvin–Voigt Damping	5
Factor-$$\sqrt{2}$$ Acceleration of Accelerated Gradient Methods	5
Almost Sectorial Operators in Fractional Superdiffusion Equations	4
State-Constrained Optimal Control of a Coupled Quasilinear Parabolic System Modeling Economic Growth in the Presence of Technological Progress	4
Global Weak Solutions in a Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy with Nonlinear Diffusion	4
Variational and Virtual Discretizations of Optimal Control Problems Governed by Diffusion Problems	4

Optimal Dividend Strategies in a Renewal Risk Model with Phase-Type Distributed Interclaim Times	4
Linearized Proximal Algorithms with Adaptive Stepsizes for Convex Composite Optimization with Applications	4
Online Adjoint Methods for Optimization of PDEs	4
Correction to: On Nonlocal Variational and Quasi-Variational Inequalities with Fractional Gradient	4
Global Existence and Optimal Estimation of the Cauchy Problem to the 3D Fluid Equations	4
Optimal Control of a Fully Parabolic Attraction-Repulsion Chemotaxis Model with Logistic Source in 2D	4
Convergence of Discrete-Time Deterministic Games to Path-Dependent Isaacs Partial Differential Equations Under Quadratic Growth Conditions	4
Propagation of Chaos of Forward–Backward Stochastic Differential Equations with Graphon Interactions	4
The Kuznetsov and Blackstock Equations of Nonlinear Acoustics with Nonlocal-in-Time Dissipation	4
Control in Probability for SDE Models of Growth Population	4
Global Approximate Controllability of the Korteweg-de Vries Equation by a Finite-Dimensional Force	4
Continuous Time q-Learning for Mean-Field Control Problems	4
A Generalization of Hoffman’s Lemma in Banach Spaces and Applications	4
A Connection Between Symmetry Breaking for Sobolev Minimizers and Stationary Navier–Stokes Flows Past a Circular Obstacle	4
An Optimal Multibarrier Strategy for a Singular Stochastic Control Problem with a State-Dependent Reward	4
Controlling a Nonlinear Fokker–Planck Equation via Inputs with Nonlocal Action	4
Carleman Estimates and Simultaneous Boundary Controllability of Uncoupled Wave Equations	4
A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier–Stokes Equations	4
Correction to: Stochastic Maximum Principle Under Probability Distortion	4
Structural Stability in Resonant Penetrative Convection in a Brinkman–Forchheimer Fluid Interfacing with a Darcy Fluid	4
Existence, Uniqueness and Asymptotic Behavior of Parametric Anisotropic (p, q)-Equations with Convection	3
Parameter Estimation of an Epidemic Model with State Constraints	3
Optimal Control of a Quasilinear Parabolic Equation and its Time Discretization	3
Bi-spatial Pullback Attractors of Non-autonomous p-Laplacian Equations on Unbounded Thin Domains	3
Generalized $$\varphi $$-Pullback Attractors for Evolution Processes and Application to a Nonautonomous Wave Equation	3
Multi-Peak Solutions for Coupled Nonlinear Schrödinger Systems in Low Dimensions	3
Zero-Sum Stochastic Linear-Quadratic Stackelberg Differential Games with Jumps	3
A New System of Differential Quasi-Hemivariational Inequalities in Contact Mechanics	3
Strong Averaging Principle for Slow–Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients	3
Sharp-Interface Limit of a Multi-phase Spectral Shape Optimization Problem for Elastic Structures	3
Mean Field Markov Decision Processes	3
Topology Optimization for Steady-State Anisothermal Flow Targeting Solids with Piecewise Constant Thermal Diffusivity	3
Optimal Control Strategies for Bistable ODE Equations: Application to Mosquito Population Replacement	3
On the Continuity of the Projection Mapping from Strategic Measures to Occupation Measures in Absorbing Markov Decision Processes	3
Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on $$L^2(\Omega )$$ Under Control Constraints	3
Overhang Penalization in Additive Manufacturing via Phase Field Structural Topology Optimization with Anisotropic Energies	3
Optimal Temperature Distribution for a Nonisothermal Cahn–Hilliard System with Source Term	3
Mean Field Control and Finite Agent Approximation for Regime-Switching Jump Diffusions	3
Pontryagin’s Principle for Some Probabilistic Control Problems	3
Strong Stationarity Conditions for the Optimal Control of a Cahn–Hilliard–Navier–Stokes System	3
Longtime Dynamics for a Class of Strongly Damped Wave Equations with Variable Exponent Nonlinearities	3
On the Global Convergence of Particle Swarm Optimization Methods	3
Exact Controllability of the Wave Equation on Graphs	3
Nonuniqueness of Weak Solutions to the Dissipative Aw–Rascle Model	3
Analysis of a Mathematical Model Arising in Plant Disease Epidemiology	3
Discrete-Time Mean-Field Stochastic Control with Partial Observations	3
Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach	3
Optimal Controls of Stochastic Differential Equations with Jumps and Random Coefficients: Stochastic Hamilton–Jacobi–Bellman Equations with Jumps	3
Non-concave Expected Utility Optimization with Uncertain Time Horizon	3
Exponential Characterization in Linear Viscoelasticity Under Delay Perturbations	3
An Adaptive Consensus Based Method for Multi-objective Optimization with Uniform Pareto Front Approximation	3
Stability for Locally Coupled Wave-Type Systems with Indirect Mixed-Type Dampings	3
Correction to: A Primal-Dual Partial Inverse Algorithm for Constrained Monotone Inclusions: Applications to Stochastic Programming and Mean Field Games	3
Existence and Uniqueness of Solutions for a Class of Discrete-Time Fractional Equations of order $$2<\alpha \le 3$$	3
Polyak–Łojasiewicz inequality on the space of measures and convergence of mean-field birth-death processes	3
Optimal Investment with a Noisy Signal of Future Stock Prices	2
Tight Bounds for a Class of Data-Driven Distributionally Robust Risk Measures	2
Information Projection on Banach Spaces with Applications to State Independent KL-Weighted Optimal Control	2
Existence and Uniqueness of Solution to the Two-Phase Stefan Problem with Convection	2
Importance Sampling for the Empirical Measure of Weakly Interacting Diffusions	2
Non-Markovian Impulse Control Under Nonlinear Expectation	2
Determining Map, Data Assimilation and an Observable Regularity Criterion for the Three-Dimensional Boussinesq System	2
Generalized Conditions and Improved Method on Asymptotic Stability for a Wave Equation with Variable Density	2
Feedback Stabilization of Convective Brinkman-Forchheimer Extended Darcy Equations	2
Before and After Default: Information and Optimal Portfolio via Anticipating Calculus	2
Accelerated Proximal Algorithms with a Correction Term for Monotone Inclusions	2
Scaling Limit for Stochastic Control Problems in Population Dynamics	2
Continuous-Time Mean Field Markov Decision Models	2
Riemannian Smoothing Gradient Type Algorithms for Nonsmooth Optimization Problem on Compact Riemannian Submanifold Embedded in Euclidean Space	2
Necessary Optimality Conditions for Minimax Multiprocesses	2
SIR Dynamics with Vaccination in a Large Configuration Model	2
Asymptotic Behavior of an Adapted Implicit Discretization of Slowly Damped Second Order Dynamical Systems	2
On the Controllability of the “Complete” Boussinesq System	2
Mean-Variance Asset-Liability Management in a Non-Markovian Regime-Switching Jump-Diffusion Market with Random Horizon	2
Hamilton–Jacobi–Bellman Approach for Optimal Control Problems of Sweeping Processes	2
Statistical Arbitrage for Multiple Co-integrated Stocks	2
Temporal Semi-discretizations of a Backward Semilinear Stochastic Evolution Equation	2
Neural Networks Can Detect Model-Free Static Arbitrage Strategies	2
Uniform Large Deviation Principle for the Solutions of Two-Dimensional Stochastic Navier–Stokes Equations in Vorticity Form	2
Infinite Horizon Optimal Control for a General Class of Semilinear Parabolic Equations	2

Weak Convergence Rates for Spatial Spectral Galerkin Approximations of Semilinear Stochastic Wave Equations with Multiplicative Noise	2
Mean-Field Selective Optimal Control via Transient Leadership	2
Global Boundedness of Solutions to a Quasilinear Chemotaxis System with Nonlocal Nonlinear Reaction	2
Global Zero-Relaxation Limit for a Two-Fluid Euler–Poisson System	2
Convexification Numerical Method for the Retrospective Problem of Mean Field Games	2
The Square Root Normal Field Distance and Unbalanced Optimal Transport	2
Boundary Stabilization of the Korteweg-de Vries-Burgers Equation with an Infinite Memory-Type Control and Applications: A Qualitative and Numerical Analysis	2
On the Relationship Between Viscosity and Distribution Solutions for Nonlinear Neumann Type PDEs: The Probabilistic Approach	2
The Elastic Flow with Obstacles: Small Obstacle Results	2
Mixed Noise Removal Framework Using a Nonlinear Fourth-Order PDE-Based Model	2
Homogenization of Semi-linear Optimal Control Problems on Oscillating Domains with Matrix Coefficients	2
Convergence of Non-autonomous Attractors for Subquintic Weakly Damped Wave Equation	2
Global Behavior in a Two-Species Chemotaxis-Competition System with Signal-Dependent Sensitivities and Nonlinear Productions	2
The Maximization of the First Eigenvalue for a Two-Phase Material	2
Well-Posedness and Stability for Schrödinger Equations with Infinite Memory	2
Dissipativity in Infinite Horizon Optimal Control and Dynamic Programming	2
A Class of Variational–Hemivariational Inequalities for Bingham Type Fluids	2
Nonasymptotic Estimates for Stochastic Gradient Langevin Dynamics Under Local Conditions in Nonconvex Optimization	2
Large Deviations and Averaging for Stochastic Tamed 3D Navier–Stokes Equations with Fast Oscillations	2
A New Carleman Inequality for a Linear Schrödinger Equation on Some Unbounded Domains	2
Identification of Active Component Functions in Finite-Max Minimisation via a Smooth Reformulation	2
Teamwise Mean Field Competitions	2
Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains	2
Constrained Discounted Stochastic Games	2
Superfair Stochastic Games	2
System of Nonlinear Second-Order Parabolic Partial Differential Equations with Interconnected Obstacles and Oblique Derivative Boundary Conditions on Non-Smooth Time-Dependent Domains	2
Stochastic Optimal Transport with at Most Quadratic Growth Cost	2
Optimality Conditions for Sparse Optimal Control of Viscous Cahn–Hilliard Systems with Logarithmic Potential	2
Global Well-posedness of the Nonhomogeneous Initial Boundary Value Problem for the Hirota Equation Posed in a Finite Domain	2
Analysis of a Combined Filtered/Phase-Field Approach to Topology Optimization in Elasticity	2
Policy Iteration Method for Time-Dependent Mean Field Games Systems with Non-separable Hamiltonians	2
Nonlinear Filtering of Partially Observed Systems Arising in Singular Stochastic Optimal Control	2
Approximate Optimal Control of Fractional Impulsive Partial Stochastic Differential Inclusions Driven by Rosenblatt Process	2
Asymptotics for Wave Equations with Damping Only on the Dynamical Boundary	2
Social Optima of Backward Linear-Quadratic-Gaussian Mean-Field Teams	2
Stability of a Timoshenko System with Localized Kelvin–Voigt Dissipation	2
Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One	2
Binary Interaction Methods for High Dimensional Global Optimization and Machine Learning	2
Mean-Field Partial Information Non-zero Sum Stochastic Differential Games	2
Quasi-stability and Upper Semicontinuity for Coupled Wave Equations with Fractional Damping	2
Chambolle–Pock’s Primal-Dual Method with Mismatched Adjoint	2
Evolution Equations with Sectorial Operator on Fractional Power Scales	2
Another Look at Partially Observed Optimal Stochastic Control: Existence, Ergodicity, and Approximations Without Belief-Reduction	1
A Game Representation for a Finite Horizon State Constrained Continuous Time Linear Regulator Problem	1
Numerical Approximation of the Solution of an Obstacle Problem Modelling the Displacement of Elliptic Membrane Shells via the Penalty Method	1
A McKean–Vlasov Game of Commodity Production, Consumption and Trading	1
Linear-Quadratic Stochastic Stackelberg Games of N Players for Time-Delay Systems and Related FBSDEs	1
On the Limit of Solutions for a Reaction–Diffusion Equation Containing Fractional Laplacians	1
Multi–component Cahn–Hilliard Systems with Singular Potentials: Theoretical Results	1
Viscosity Solutions of a Class of Second Order Hamilton–Jacobi–Bellman Equations in the Wasserstein Space	1
On a Class of Distribution Dependent Stochastic Differential Equations Driven by Time-Changed Brownian Motions	1
Correction to: Optimal Control of a Phase Field System Modelling Tumor Growth with Chemotaxis and Singular Potentials	1
Integral Functionals on Nonseparable Banach Spaces With Applications	1
Generalized Conditional Gradient and Learning in Potential Mean Field Games	1
Error Estimates for Fractional Semilinear Optimal Control on Lipschitz Polytopes	1
Strong Stationarity for Optimal Control Problems with Non-smooth Integral Equation Constraints: Application to a Continuous DNN	1
On Approximate and Weak Correlated Equilibria in Constrained Discounted Stochastic Games	1
Large-Time Asymptotic Behaviors for Linear Blackstock’s Model of Thermoviscous Flow	1
An Improvement to Prandtl’s 1933 Model for Minimizing Induced Drag	1
Machine Learning Architectures for Price Formation Models	1
$$L_p$$–$$L_q$$-Theory for a Quasilinear Non-isothermal Westervelt Equation	1
Large Deviation Principles for Stochastic Volatility Models with Reflection	1
Semidiscrete Shocks for the Full Velocity Difference Model	1
On the Existence of Global Weak Solutions to the 3D Electrically Conductive Rosensweig System and Their Convergence Towards Quasi-Equilibrium	1
An Observation About Weak Solutions of Linear Differential Equations in Hilbert Spaces	1
Existence of Global Attractors for a Semilinear Wave Equation with Nonlinear Boundary Dissipation and Nonlinear Interior and Boundary Sources with Critical Exponents	1
Optimal Control for Optical Solitons in Nematic Liquid Crystals	1
Long-Time Behavior of a Nonlinearly-Damped Three-Layer Rao–Nakra Sandwich Beam	1
Solvability of Infinite Horizon McKean–Vlasov FBSDEs in Mean Field Control Problems and Games	1
Simultaneous Exact Boundary Controllability of Final State and Nodal Profile for Quasilinear Hyperbolic Systems	1
Minimization of the Buckling Load of a Clamped Plate with Perimeter Constraint	1
Various Perturbations of Time Dependent Maximal Monotone/Accretive Operators in Evolution Inclusions with Applications	1
Periodic Homogenization of the Principal Eigenvalue of Second-Order Elliptic Operators	1
Determination of the Space-Dependent Source Term in a Fourth-Order Parabolic Problem	1
Sequential Stochastic Control (Single or Multi-Agent) Problems Nearly Admit Change of Measures with Independent Measurement	1
Duality in Branched Transport and Urban Planning	1
A Study of Certain Sharp Poincaré Constants as Set Functions of Their Domain	1
Steady Navier–Stokes Equations with Regularized Directional Do-Nothing Boundary Condition: Optimal Boundary Control for a Velocity Tracking Problem	1
Dynamics of a Thermoelastic Balakrishnan–Taylor Beam Model with Fractional Operators	1
Perpetual American Options with Asset-Dependent Discounting	1
Fenchel Conjugate via Busemann Function on Hadamard Manifolds	1
Distributionally Robust Chance-Constrained Markov Decision Processes with Random Payoff	1
Stochastic Maximum Principle for Optimal Liquidation with Control-Dependent Terminal Time	1
Convex and Nonconvex Sweeping Processes with Velocity Constraints: Well-Posedness and Insights	1
Optimal Control of a New Class of Parabolic Quasi Variational–Hemivariational Inequality	1
Modified Zakharov-Kuznetsov Equation Posed on a Half-Strip	1
An Isoperimetric Sloshing Problem in a Shallow Container with Surface Tension	1
Labor Supply Flexibility and Portfolio Selection with Early Retirement Option	1
Finite Horizon Optimal Dividend and Reinsurance Problem Driven by a Jump-Diffusion Process with Controlled Jumps	1
Existence of Ground State Sign-Changing Solutions of Fractional Kirchhoff-Type Equation with Critical Growth	1
Biorthogonal Functions for Complex Exponentials and an Application to the Controllability of the Kawahara Equation Via a Moment Approach	1
Bang–Bang Control of a Prey–Predator Model with a Stable Food Stock and Hysteresis	1
Constraint Qualification with Schauder Basis for Infinite Programming Problems	1
Structural Changes in Nonlocal Denoising Models Arising Through Bi-Level Parameter Learning	1
Decomposition of Convex High Dimensional Aggregative Stochastic Control Problems	1