Applied Mathematics and Optimization

Article	Citations
Almost Sectorial Operators in Fractional Superdiffusion Equations	31
Sensitivity Analysis and Optimal Control for a Friction Problem in the Linear Elastic Model	22
Local Turnpike Analysis Using Local Dissipativity for Discrete Time Discounted Optimal Control	21
Optimal Control of a Nonlinear PDE Governed by Fractional Laplacian	21
Porous-elastic Plates: Fourier Versus Type III	21
Differential Stability of Discrete Optimal Control Problems with Possibly Nondifferentiable Costs	20
Local and Global Existence and Uniqueness of Solution and Local Well-Posednesss for Abstract Fractional Differential Equations with State-Dependent Delay	17
Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting	16
Improved Description of Blaschke–Santaló Diagrams via Numerical Shape Optimization	15
Analysis of Subdifferentials of Marginal and Performance Functions	14
Viscosity Solutions of the Eikonal Equation on the Wasserstein Space	13
Policy Iteration for Exploratory Hamilton–Jacobi–Bellman Equations	13
Path-Dependent Hamilton–Jacobi Equations: The Minimax Solutions Revised	13
The Sticky Particle Dynamics of the 1D Pressureless Euler-Alignment System as a Gradient Flow	13
Exponential Characterization in Linear Viscoelasticity Under Delay Perturbations	13
Existence and Uniqueness of Solutions for a Class of Discrete-Time Fractional Equations of order $$2<\alpha \le 3$$	12
Infinite Horizon Optimal Control for a General Class of Semilinear Parabolic Equations	12
Optimal Dividend Strategies in a Renewal Risk Model with Phase-Type Distributed Interclaim Times	11
Carleman Estimates and Simultaneous Boundary Controllability of Uncoupled Wave Equations	11
Optimal Control of a Quasilinear Parabolic Equation and its Time Discretization	11
Zero-Sum Stochastic Linear-Quadratic Stackelberg Differential Games with Jumps	10
Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach	10
Correction to: Stochastic Maximum Principle Under Probability Distortion	10
Pontryagin’s Principle for Some Probabilistic Control Problems	9
Convexification Numerical Method for the Retrospective Problem of Mean Field Games	9

Entropic Mean-Field Min–Max Problems via Best Response Flow	8
Determination of Singular Control in the Optimal Management of Natural Resources	8
Machine Learning Architectures for Price Formation Models	8
Well-Posedness and Dynamical Properties for Extensible Beams with Nonlocal Frictional Damping and Polynomial Nonlinearity	8
Statistical Arbitrage for Multiple Co-integrated Stocks	8
Before and After Default: Information and Optimal Portfolio via Anticipating Calculus	8
Binary Interaction Methods for High Dimensional Global Optimization and Machine Learning	8
Lévy Driven Stochastic Heat Equation with Logarithmic Nonlinearity: Well-Posedness and Large Deviation Principle	8
Lipschitz Multivalued Perturbations of Integro-differential Prox-Regular Sweeping Processes	8
Homogenization of Semi-linear Optimal Control Problems on Oscillating Domains with Matrix Coefficients	8
Optimal Investment with a Noisy Signal of Future Stock Prices	7
A McKean–Vlasov Game of Commodity Production, Consumption and Trading	7
Stochastic Collocation Method for Stochastic Optimal Boundary Control of the Navier–Stokes Equations	7
Optimality Conditions for Sparse Optimal Control of Viscous Cahn–Hilliard Systems with Logarithmic Potential	7
Semidiscrete Shocks for the Full Velocity Difference Model	7
Chambolle–Pock’s Primal-Dual Method with Mismatched Adjoint	7
Non-Markovian Mean-Variance Portfolio Selection Problems via Closed-Loop Equilibrium Strategies	7
What if We Knew What the Future Brings? Optimal Investment for a Frontrunner with Price Impact	7
Biorthogonal Functions for Complex Exponentials and an Application to the Controllability of the Kawahara Equation Via a Moment Approach	7
Large-Time Asymptotic Behaviors for Linear Blackstock’s Model of Thermoviscous Flow	7
Finite Horizon Optimal Dividend and Reinsurance Problem Driven by a Jump-Diffusion Process with Controlled Jumps	6
Optimal Control for Optical Solitons in Nematic Liquid Crystals	6
On the Existence of Global Weak Solutions to the 3D Electrically Conductive Rosensweig System and Their Convergence Towards Quasi-Equilibrium	6
On a Class of Distribution Dependent Stochastic Differential Equations Driven by Time-Changed Brownian Motions	6
Numerical Shape Optimization Among Convex Sets	6
Publisher Correction: Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions	6
Error Estimates for Fractional Semilinear Optimal Control on Lipschitz Polytopes	6
$$L_p$$–$$L_q$$-Theory for a Quasilinear Non-isothermal Westervelt Equation	6
Optimal Control of a New Class of Parabolic Quasi Variational–Hemivariational Inequality	6
Robust Time-Inconsistent Stochastic Linear-Quadratic Control with Drift Disturbance	6
Asymptotics of Impulse Control Problem with Multiplicative Reward	6
Fast Convergence of Inertial Dynamics with Hessian-Driven Damping Under Geometry Assumptions	6
Multi–component Cahn–Hilliard Systems with Singular Potentials: Theoretical Results	6
A Non Linear Optimal Control Problem Related to a Road De-icing Device: Analysis and Numerical Experiments	6
Functional Central Limit Theorem and Strong Law of Large Numbers for Stochastic Gradient Langevin Dynamics	5
Large Deviations For Synchronized System	5
Global Existence and Decay Property for the Cauchy Problem of the Nonlinear MGT Plate Equation	5
Wong–Zakai Approximation for Landau–Lifshitz–Gilbert Equation Driven by Geometric Rough Paths	5
An Optimal Control Problem Related to a Parabolic–Elliptic Chemo-repulsion System in 2D Domains	5
Existence and Non-existence of Global Solutions for a Nonlocal Choquard–Kirchhoff Diffusion Equations in $$\mathbb {R}^{N}$$	5
Orlicz Space Regularization of Continuous Optimal Transport Problems	5
A Class of Multivalued Quasi-Variational Inequalities with Applications	5
Parameter Sensitivity Analysis for Mean Field Games of Production	5
Adjoint-Based Calibration of Nonlinear Stochastic Differential Equations	5
Global Well-Posedness of Stochastic Nematic Liquid Crystals with Random Initial and Boundary Conditions Driven by Multiplicative Noise	5
Moderate Deviations for Two-Time Scale Systems with Mixed Fractional Brownian Motion	5
Zero-Sum Non-stationary Stochastic Games with the Long-Run Average Criterion	5
Segmentation in Measure Spaces	5
A Selection Procedure for Extracting the Unique Feller Weak Solution of Degenerate Diffusions	4
A Double Phase Problem Involving Hardy Potentials	4

Non-asymptotic Convergence Rates for Mean-Field Games: Weak Formulation and McKean–Vlasov BSDEs	4
Higher Regularity and Finite Time Blow-up to Nonlocal Pseudo-parabolic Equation with Conical Degeneration	4
Long Run Stochastic Control Problems with General Discounting	4
Accelerated Proximal Algorithms with a Correction Term for Monotone Inclusions	4
Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds	4
Pullback Measure Attractors for Non-autonomous Fractional Stochastic Reaction-Diffusion Equations on Unbounded Domains	4
A Second Order Primal–Dual Dynamical System for a Convex–Concave Bilinear Saddle Point Problem	4
Infinite Time Blow-Up of Solutions for A Class of Logarithmic Wave Equations with Arbitrary High Initial Energy	4
Projective Splitting as a Warped Proximal Algorithm	4
State-Constrained Optimal Control of a Coupled Quasilinear Parabolic System Modeling Economic Growth in the Presence of Technological Progress	4
Optimal Boundary Control of the Isothermal Semilinear Euler Equation for Gas Dynamics on a Network	4
Theory of Solutions for an Inextensible Cantilever	4
Asymptotic Behavior of Rao–Nakra Sandwich Beam with Nonlinear Localized Damping and Source Terms	4
Nash Equilibria for Total Expected Reward Absorbing Markov Games: The Constrained and Unconstrained Cases	4
Exact Controllability of the Wave Equation on Graphs	4
Optimal Control of Stochastic Differential Equations via Fokker–Planck Equations	4
A Nonlocal Cahn–Hilliard–Darcy System with Singular Potential, Degenerate Mobility, and Sources	4
Actor-Critic Reinforcement Learning Algorithms for Mean Field Games in Continuous Time, State and Action Spaces	4
Shape-Programming in Hyperelasticity Through Differential Growth	4
Exploiting Characteristics in Stationary Action Problems	4
Optimal Control for Suppression of Singularity in Chemotaxis via Flow Advection	4
Null Controllability for a Degenerate Population Equation with Memory	4
Linear Quadratic Mean Field Social Optimization: Asymptotic Solvability and Decentralized Control	4
Infinite Horizon Mean-Field Linear Quadratic Optimal Control Problems with Jumps and the Related Hamiltonian Systems	4
Strong Averaging Principle for Two-Time-Scale Stochastic McKean-Vlasov Equations	4
On Forward–Backward Stochastic Differential Equations in a Domination-Monotonicity Framework	4
Continuous Time q-Learning for Mean-Field Control Problems	4
Functional Law of Large Numbers and PDEs for Epidemic Models with Infection-Age Dependent Infectivity	4
The Stochastic Gierer–Meinhardt System	4
On the Structure of Optimal Transportation Plans between Discrete Measures	4
Systems of Fully Nonlinear Parabolic Obstacle Problems with Neumann Boundary Conditions	4
Control in Probability for SDE Models of Growth Population	3
The Maximization of the First Eigenvalue for a Two-Phase Material	3
Polyak–Łojasiewicz inequality on the space of measures and convergence of mean-field birth-death processes	3
Constrained Discounted Stochastic Games	3
An Improvement to Prandtl’s 1933 Model for Minimizing Induced Drag	3
Fractional (p, q)-Schrödinger Equations with Critical and Supercritical Growth	3
Uniform Large Deviation Principle for the Solutions of Two-Dimensional Stochastic Navier–Stokes Equations in Vorticity Form	3
Suitable Spaces for Shape Optimization	3
Labor Supply Flexibility and Portfolio Selection with Early Retirement Option	3
Learning-Informed Parameter Identification in Nonlinear Time-Dependent PDEs	3
Limiting Behavior of Random Attractors of Stochastic Supercritical Wave Equations Driven by Multiplicative Noise	3
Importance Sampling for the Empirical Measure of Weakly Interacting Diffusions	3
Global Zero-Relaxation Limit for a Two-Fluid Euler–Poisson System	3
A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier–Stokes Equations	3
Dissipativity in Infinite Horizon Optimal Control and Dynamic Programming	3
Shape Sensitivity of Eigenvalue Functionals for Scalar Problems: Computing the Semi-derivative of a Minimum	3
Transport Type Metrics on the Space of Probability Measures Involving Singular Base Measures	3
Convergence of Random Attractors for Stochastic Delay p-Laplacian Equation Driven by Nonlinear Colored Noise on Unbounded Thin Domains	3
An Isoperimetric Sloshing Problem in a Shallow Container with Surface Tension	3
Viscosity Solutions of a Class of Second Order Hamilton–Jacobi–Bellman Equations in the Wasserstein Space	3
A Zero-Sum Deterministic Impulse Controls Game in Infinite Horizon with a New HJBI-QVI	3
Teamwise Mean Field Competitions	3
On the Well-Posedness and Long Time Dynamics for a Coupled Nonlinear Bridge System with Past History	3
Optimal Convergence Rates for Damped Inertial Gradient Dynamics with Flat Geometries	3
Approximate Optimal Control of Fractional Impulsive Partial Stochastic Differential Inclusions Driven by Rosenblatt Process	3
Online Adjoint Methods for Optimization of PDEs	3
Convergence of Non-autonomous Attractors for Subquintic Weakly Damped Wave Equation	3
Determination of the Space-Dependent Source Term in a Fourth-Order Parabolic Problem	3
Minimization of the Buckling Load of a Clamped Plate with Perimeter Constraint	3
Distributionally Robust Chance-Constrained Markov Decision Processes with Random Payoff	3
Fenchel Conjugate via Busemann Function on Hadamard Manifolds	3
Constraint Qualification with Schauder Basis for Infinite Programming Problems	3
Information Projection on Banach Spaces with Applications to State Independent KL-Weighted Optimal Control	3
A Class of Variational–Hemivariational Inequalities for Bingham Type Fluids	3
Fractional, Semilinear, and Sparse Optimal Control: A Priori Error Bounds	3
Multilevel Selective Harmonic Modulation via Optimal Control	3
Analysis of a Mathematical Model Arising in Plant Disease Epidemiology	3
Continuous Data Assimilation Algorithm for the Two Dimensional Cahn–Hilliard–Navier–Stokes System	2
Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems	2
Remarks on the Vanishing Viscosity Process of State-Constraint Hamilton–Jacobi Equations	2
Strong Stationarity for Optimal Control Problems with Non-smooth Integral Equation Constraints: Application to a Continuous DNN	2
Linear-Quadratic Mean-Field Backward Stackelberg Game with Mixed Terminal Perturbation	2
Exponential Stabilization of a Semi Linear Third Order in Time Equation with Memory	2
Evolutionary Quasi-variational Hemivariational Inequalities: Existence and Parameter Identification	2
Social Optima of Backward Linear-Quadratic-Gaussian Mean-Field Teams	2
Convergence of the Stochastic Navier–Stokes-$$\alpha $$ Solutions Toward the Stochastic Navier–Stokes Solutions	2
Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on $$L^2(\Omega )$$ Under Control Constraints	2
On the Resolution of the Variational Inequalities of the First and the Second Kind as Equations Obtained by Explicit Moreau–Yosida Regularizations	2
Bi-spatial Pullback Attractors of Non-autonomous p-Laplacian Equations on Unbounded Thin Domains	2

Optimal Investment in an Illiquid Market with Search Frictions and Transaction Costs	2
Propagation of Chaos of Forward–Backward Stochastic Differential Equations with Graphon Interactions	2
Effects of Kelvin–Voigt Damping on the Stability of (Thermo)Elastic Timoshenko System with Second Sound	2
Polynomial Mixing of a Stochastic Wave Equation with Dissipative Damping	2
Simultaneous Exact Boundary Controllability of Final State and Nodal Profile for Quasilinear Hyperbolic Systems	2
On the Continuity of the Projection Mapping from Strategic Measures to Occupation Measures in Absorbing Markov Decision Processes	2
The Analysis of Approximate Controllability for Distributed Order Fractional Diffusion Problems	2
Existence and Stability of Cylindrical Symmetric Static Solutions to the Landau–Lifshitz Equation for Multidirectional Ferromagnets	2
Solvability of Infinite Horizon McKean–Vlasov FBSDEs in Mean Field Control Problems and Games	2
Stochastic Graphon Games: II. The Linear-Quadratic Case	2
Global Well-posedness of the Nonhomogeneous Initial Boundary Value Problem for the Hirota Equation Posed in a Finite Domain	2
Stability in Set-Valued Optimization Problems Using Asymptotic Analysis and Epi-Convergence	2
Inverse Coefficient Problem for the Coupled System of Fourth and Second Order Partial Differential Equations	2
On the Time Consistent Solution to Optimal Stopping Problems with Expectation Constraint	2
A Generalization of Hoffman’s Lemma in Banach Spaces and Applications	2
Well-Posedness and Stability for Schrödinger Equations with Infinite Memory	2
Analysis of District Heating Networks	2
Bang–Bang Control of a Prey–Predator Model with a Stable Food Stock and Hysteresis	2
Well-posedness for the Cahn-Hilliard-Navier-Stokes Equations Perturbed by Gradient-Type Noise, in Two Dimensions	2
On the Global Convergence of Particle Swarm Optimization Methods	2
Correction to: The Stochastic Gierer–Meinhardt System	2
A New System of Differential Quasi-Hemivariational Inequalities in Contact Mechanics	2
Continuity Properties of Pullback and Pullback Exponential Attractors for Non-autonomous Plate with $$p-$$Laplacian	2
Optimal Control of a Fully Parabolic Attraction-Repulsion Chemotaxis Model with Logistic Source in 2D	2
Necessary Optimality Conditions for Minimax Multiprocesses	2
Averaging Principle for Two Time-Scales Stochastic Partial Differential Equations with Reflection	2
A Study of Certain Sharp Poincaré Constants as Set Functions of Their Domain	2
Boundedness and Unboundedness in Total Variation Regularization	2
Convex and Nonconvex Sweeping Processes with Velocity Constraints: Well-Posedness and Insights	2
Mean Field Markov Decision Processes	2
Weak Closed-Loop Solvability of Linear Quadratic Stochastic Optimal Control Problems with Partial Information	2
SIR Epidemics with State-Dependent Costs and ICU Constraints: A Hamilton–Jacobi Verification Argument and Dual LP Algorithms	2
SIR Dynamics with Vaccination in a Large Configuration Model	2
Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions	2
Closed-Loop Solvability of Linear Quadratic Mean-Field Type Stackelberg Stochastic Differential Games	2
Large Deviation Principle for McKean–Vlasov Quasilinear Stochastic Evolution Equations	2
$$L^1$$ Transport Energy	2
Stochastic 3D Globally Modified Navier–Stokes Equations: Weak Attractors, Invariant Measures and Large Deviations	2
Discrete-Time Mean-Field Stochastic Control with Partial Observations	2
Parallel Search for Information in Continuous Time—Optimal Stopping and Geometry of the PDE	2
Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One	2
Stopper vs. Singular Controller Games With Degenerate Diffusions	2
Global Weak Solutions in a Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy with Nonlinear Diffusion	2
Bilevel Optimization of the Kantorovich Problem and Its Quadratic Regularization	2
Scaling Limit for Stochastic Control Problems in Population Dynamics	2
Hamilton–Jacobi–Bellman Approach for Optimal Control Problems of Sweeping Processes	2
On the Strong Subregularity of the Optimality Mapping in an Optimal Control Problem with Pointwise Inequality Control Constraints	2
Dynamic Programming Principle for Classical and Singular Stochastic Control with Discretionary Stopping	2
A Connection Between Symmetry Breaking for Sobolev Minimizers and Stationary Navier–Stokes Flows Past a Circular Obstacle	2
Path-Dependent Hamilton–Jacobi Equations with u-Dependence and Time-Measurable Hamiltonians	2
Estimates of Exponential Convergence for Solutions of Stochastic Nonlinear Systems	2
Structural Stability in Resonant Penetrative Convection in a Brinkman–Forchheimer Fluid Interfacing with a Darcy Fluid	1
Asymptotic Behavior of an Adapted Implicit Discretization of Slowly Damped Second Order Dynamical Systems	1
Large Deviations and Averaging for Stochastic Tamed 3D Navier–Stokes Equations with Fast Oscillations	1
Global Approximate Controllability of the Korteweg-de Vries Equation by a Finite-Dimensional Force	1
Mean-Field Selective Optimal Control via Transient Leadership	1
Null Controllability for Stochastic Parabolic Equations Coupled by First and Zero Order Terms	1
A Piecewise Deterministic Limit for a Multiscale Stochastic Spatial Gene Network	1
Uniform Decay Rates for a Variable-Coefficient Structural Acoustic Model with Curved Interface on a Shallow Shell	1
Classical and Quantum Controllability of a Rotating Asymmetric Molecule	1
Control Randomisation Approach for Policy Gradient and Application to Reinforcement Learning in Optimal Switching	1
General Duality and Dual Attainment for Adapted Transport	1
Differentiability Properties for Boundary Control of Fluid-Structure Interactions of Linear Elasticity with Navier-Stokes Equations with Mixed-Boundary Conditions in a Channel	1
Boundary Stabilization of the Korteweg-de Vries-Burgers Equation with an Infinite Memory-Type Control and Applications: A Qualitative and Numerical Analysis	1
On Explicit Abstract Neutral Differential Equations with State-Dependent Delay	1
Asymptotics for Wave Equations with Damping Only on the Dynamical Boundary	1
Riemannian Smoothing Gradient Type Algorithms for Nonsmooth Optimization Problem on Compact Riemannian Submanifold Embedded in Euclidean Space	1
Neural Networks Can Detect Model-Free Static Arbitrage Strategies	1
A Zero-Sum Poisson Stopping Game with Asymmetric Signal Rates	1
Multi-Peak Solutions for Coupled Nonlinear Schrödinger Systems in Low Dimensions	1
Strong Averaging Principle for Slow–Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients	1
Bilinear Control of Convection-Cooling: From Open-Loop to Closed-Loop	1
Approximation to Stochastic Variance Reduced Gradient Langevin Dynamics by Stochastic Delay Differential Equations	1
Strict Efficiency in Vector Optimization Via a Directional Curvature Functional	1
Multiple Positive Solutions for Quasilinear Elliptic Problems in Expanding Domains	1
An Averaging Principle for Fast–Slow-Coupled Neutral Stochastic Differential Equations with Time-Varying Delay	1
Nonlocal Green Theorems and Helmholtz Decompositions for Truncated Fractional Gradients	1
Entropic Approximation of $$\infty $$-Optimal Transport Problems	1
Correction to: A Primal-Dual Partial Inverse Algorithm for Constrained Monotone Inclusions: Applications to Stochastic Programming and Mean Field Games	1
Quasi-stability and Upper Semicontinuity for Coupled Wave Equations with Fractional Damping	1
Boundary Controllability for Degenerate/Singular Hyperbolic Equations in Nondivergence Form with Drift	1
Overhang Penalization in Additive Manufacturing via Phase Field Structural Topology Optimization with Anisotropic Energies	1
Nonasymptotic Estimates for Stochastic Gradient Langevin Dynamics Under Local Conditions in Nonconvex Optimization	1
Fluid–Structure Interaction with Kelvin–Voigt Damping: Analyticity, Spectral Analysis, Exponential Decay	1
Temporal Semi-discretizations of a Backward Semilinear Stochastic Evolution Equation	1
Null Boundary Controllability of the Linear Kuramoto–Sivashinsky Equation with Variable Coefficients	1
Existence, Comparison, and Convergence Results for a Class of Elliptic Hemivariational Inequalities	1
Kantorovich–Rubinstein Distance and Barycenter for Finitely Supported Measures: Foundations and Algorithms	1
Uniform Stabilization for the Semi-linear Wave Equation with Nonlinear Kelvin–Voigt Damping	1
Optimality Conditions for Parabolic Stochastic Optimal Control Problems with Boundary Controls	1
On the One-Dimensional Singular Abreu Equations	1
Boundedness Through Nonlocal Dampening Effects in a Fully Parabolic Chemotaxis Model with Sub and Superquadratic Growth	1
Global Behavior in a Two-Species Chemotaxis-Competition System with Signal-Dependent Sensitivities and Nonlinear Productions	1
Generalized Differentiation of Probability Functions: Parameter Dependent Sets Given by Intersections of Convex Sets and Complements of Convex Sets	1
An Optimal Multibarrier Strategy for a Singular Stochastic Control Problem with a State-Dependent Reward	1