Applied Mathematics and Optimization

Article	Citations
Necessary Optimality Conditions for Optimal Control Problems in Wasserstein Spaces	23
First-Order Shape Derivative of the Energy for Elastic Plates with Rigid Inclusions and Interfacial Cracks	17
On the Global Convergence of Particle Swarm Optimization Methods	17
Structural Stability in Resonant Penetrative Convection in a Brinkman–Forchheimer Fluid Interfacing with a Darcy Fluid	16
Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One	16
Stochastic Graphon Games: II. The Linear-Quadratic Case	15
A Double Phase Problem Involving Hardy Potentials	15
Strong Averaging Principle for Two-Time-Scale Stochastic McKean-Vlasov Equations	14
A Class of Variational–Hemivariational Inequalities for Bingham Type Fluids	14
Suitable Spaces for Shape Optimization	13
A General Stochastic Maximum Principle for Mean-Field Controls with Regime Switching	13
Path-Dependent Hamilton–Jacobi Equations: The Minimax Solutions Revised	12
On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square	10
Optimal Control of Semilinear Parabolic Equations with Non-smooth Pointwise-Integral Control Constraints in Time-Space	10
A Coefficient Inverse Problem for the Mean Field Games System	9
Accelerated Proximal Algorithms with a Correction Term for Monotone Inclusions	9
Continuous-Time Mean Field Games with Finite State Space and Common Noise	9
Accelerated Gradient Methods Combining Tikhonov Regularization with Geometric Damping Driven by the Hessian	9
Large Deviation Principle for McKean–Vlasov Quasilinear Stochastic Evolution Equations	9
An Adaptive Consensus Based Method for Multi-objective Optimization with Uniform Pareto Front Approximation	9
Navier–Stokes Regularity Criteria in Vishik Spaces	8
Teamwise Mean Field Competitions	8
Fractional (p, q)-Schrödinger Equations with Critical and Supercritical Growth	8
On the Weak Stationarity Conditions for Mathematical Programs with Cardinality Constraints: A Unified Approach	8
Optimal Control of Stochastic Differential Equations via Fokker–Planck Equations	8

Nonasymptotic Estimates for Stochastic Gradient Langevin Dynamics Under Local Conditions in Nonconvex Optimization	8
Binary Interaction Methods for High Dimensional Global Optimization and Machine Learning	7
Time Optimal Control of a Clarke Subdifferential Type Stochastic Evolution Inclusion in Hilbert Spaces	7
Classical and Quantum Controllability of a Rotating Asymmetric Molecule	7
Stability of a Timoshenko System with Localized Kelvin–Voigt Dissipation	7
Existence, Uniqueness and Asymptotic Behavior of Parametric Anisotropic (p, q)-Equations with Convection	7
Mixed Linear Quadratic Stochastic Differential Leader-Follower Game with Input Constraint	7
Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains	7
A Modified MSA for Stochastic Control Problems	7
Theory of Solutions for an Inextensible Cantilever	6
Singular Limit Dynamics and Attractors for Wave Equations Connected in Parallel	6
Determining Map, Data Assimilation and an Observable Regularity Criterion for the Three-Dimensional Boussinesq System	6
Parameter Estimation of an Epidemic Model with State Constraints	6
On Forward–Backward Stochastic Differential Equations in a Domination-Monotonicity Framework	6
Stackelberg–Nash Controllability for N-Dimensional Nonlinear Parabolic Partial Differential Equations	6
Mean-Field Selective Optimal Control via Transient Leadership	6
Strong Averaging Principle for Slow–Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients	6
Existence and Non-existence of Global Solutions for a Nonlocal Choquard–Kirchhoff Diffusion Equations in $$\mathbb {R}^{N}$$	6
Learning an Optimal Feedback Operator Semiglobally Stabilizing Semilinear Parabolic Equations	6
Variational and Virtual Discretizations of Optimal Control Problems Governed by Diffusion Problems	6
Kantorovich–Rubinstein Distance and Barycenter for Finitely Supported Measures: Foundations and Algorithms	5
Fluid–Structure Interaction with Kelvin–Voigt Damping: Analyticity, Spectral Analysis, Exponential Decay	5
Learning-Informed Parameter Identification in Nonlinear Time-Dependent PDEs	5
Low Perturbations and Combined Effects of Critical and Singular Nonlinearities in Kirchhoff Problems	5
Sensitivity Analysis of Optimal Control Problems Governed by Nonlinear Hilfer Fractional Evolution Inclusions	5
The Analysis of Approximate Controllability for Distributed Order Fractional Diffusion Problems	5
Effect of Temperature Upon Double Diffusive Instability in Navier–Stokes–Voigt Models with Kazhikhov–Smagulov and Korteweg Terms	5
Random Evolution Equations: Well-Posedness, Asymptotics, and Applications to Graphs	5
Policy Iteration Method for Time-Dependent Mean Field Games Systems with Non-separable Hamiltonians	5
Approximation to Stochastic Variance Reduced Gradient Langevin Dynamics by Stochastic Delay Differential Equations	5
Distributed Optimal Control of the 2D Cahn–Hilliard–Oberbeck–Boussinesq System for Nonisothermal Viscous Two-Phase Flows	5
On Numerical Approaches for Solving an Inverse Cauchy Stokes Problem	5
Numerical Shape Optimization Among Convex Sets	5
Weak Convergence Rates for Spatial Spectral Galerkin Approximations of Semilinear Stochastic Wave Equations with Multiplicative Noise	5
Optimal Control of a Fully Parabolic Attraction-Repulsion Chemotaxis Model with Logistic Source in 2D	5
Existence, Comparison, and Convergence Results for a Class of Elliptic Hemivariational Inequalities	5
Sensitivity Analysis of Value Functional of Fractional Optimal Control Problem with Application to Feedback Construction of Near Optimal Controls	5
Optimal Distributed Control of a Allen–Cahn/Cahn–Hilliard System with Temperature	5
An Eikonal Equation with Vanishing Lagrangian Arising in Global Optimization	4
On the Maximum Principle for Optimal Control Problems of Stochastic Volterra Integral Equations with Delay	4
Robust Time-Inconsistent Stochastic Linear-Quadratic Control with Drift Disturbance	4
Stochastic Collocation Method for Stochastic Optimal Boundary Control of the Navier–Stokes Equations	4
Analysis of a Mathematical Model Arising in Plant Disease Epidemiology	4
Mean Field Control and Finite Agent Approximation for Regime-Switching Jump Diffusions	4
Newton-Type Inertial Algorithms for Solving Monotone Equations Governed by Sums of Potential and Nonpotential Operators	4
Linear Quadratic Optimal Control Problems of Delayed Backward Stochastic Differential Equations	4
BV Solutions of a Convex Sweeping Process with Local Conditions in the Sense of Differential Measures	4
Stability for Semilinear Parabolic Optimal Control Problems with Respect to Initial Data	4
Solvability of Infinite Horizon McKean–Vlasov FBSDEs in Mean Field Control Problems and Games	4
Long-Time Behavior of a Nonlinearly-Damped Three-Layer Rao–Nakra Sandwich Beam	4

Social Optima of Backward Linear-Quadratic-Gaussian Mean-Field Teams	4
Discrete Subdiffusion Equations with Memory	4
Asymptotic Regularity and Attractors for Slightly Compressible Brinkman–Forchheimer Equations	4
Stochastic Dynamic Programming with Non-linear Discounting	4
Local Turnpike Analysis Using Local Dissipativity for Discrete Time Discounted Optimal Control	4
Generalized Differentiation of Probability Functions: Parameter Dependent Sets Given by Intersections of Convex Sets and Complements of Convex Sets	4
Strong Attractors for the Structurally Damped Kirchhoff Wave Models with Subcritical-Critical Nonlinearities	4
Robustness of Global Attractors for Extensible Coupled Suspension Bridge Equations with Fractional Damping	4
A General Stability Result for a Viscoelastic Moore–Gibson–Thompson Equation in the Whole Space	4
Continuous Data Assimilation Algorithm for the Two Dimensional Cahn–Hilliard–Navier–Stokes System	4
SIR Dynamics with Vaccination in a Large Configuration Model	4
Mixed Noise Removal Framework Using a Nonlinear Fourth-Order PDE-Based Model	4
SIR Epidemics with State-Dependent Costs and ICU Constraints: A Hamilton–Jacobi Verification Argument and Dual LP Algorithms	4
Linear Quadratic Mean Field Social Optimization: Asymptotic Solvability and Decentralized Control	4
Infinite Time Blow-Up of Solutions for A Class of Logarithmic Wave Equations with Arbitrary High Initial Energy	4
Optimal Control Strategies for Bistable ODE Equations: Application to Mosquito Population Replacement	3
Information Projection on Banach Spaces with Applications to State Independent KL-Weighted Optimal Control	3
Exact Controllability of the Wave Equation on Graphs	3
Convergence of Discrete-Time Deterministic Games to Path-Dependent Isaacs Partial Differential Equations Under Quadratic Growth Conditions	3
The Stochastic Linear Quadratic Optimal Control Problem on Hilbert Spaces: The Case of Non-analytic Systems	3
Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds	3
Stochastic 3D Globally Modified Navier–Stokes Equations: Weak Attractors, Invariant Measures and Large Deviations	3
Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems	3
Optimal Control of Mean Field Equations with Monotone Coefficients and Applications in Neuroscience	3
Qualitative Analysis for a Degenerate Kirchhoff-Type Diffusion Equation Involving the Fractional p-Laplacian	3
Convergence Results of a New Monotone Inertial Forward–Backward Splitting Algorithm Under the Local Hölder Error Bound Condition	3
Optimal Control of the Principal Coefficient in a Scalar Wave Equation	3
Error Estimates for Fractional Semilinear Optimal Control on Lipschitz Polytopes	3
Existence and Uniqueness of Solution to the Two-Phase Stefan Problem with Convection	3
Overhang Penalization in Additive Manufacturing via Phase Field Structural Topology Optimization with Anisotropic Energies	3
Online Adjoint Methods for Optimization of PDEs	3
Mean Field Markov Decision Processes	3
A Connection Between Symmetry Breaking for Sobolev Minimizers and Stationary Navier–Stokes Flows Past a Circular Obstacle	3
Large Time Behavior of Spherically Symmetrical Micropolar Fluid on Unbounded Domain	3
Sensitivity Analysis of Multi-objective Optimal Control Problems	3
Orlicz Space Regularization of Continuous Optimal Transport Problems	3
Reverse Isoperimetric Inequality for the Lowest Robin Eigenvalue of a Triangle	3
Sequential Systems of Reflected Backward Stochastic Differential Equations with Application to Impulse Control	3
Asymptotic Behaviors of Small Perturbation for Multivalued Mckean–Vlasov Stochastic Differential Equations	3
On Approximate and Weak Correlated Equilibria in Constrained Discounted Stochastic Games	3
Viability for Coupled SDEs Driven by Fractional Brownian Motion	3
Large Deviations and Averaging for Stochastic Tamed 3D Navier–Stokes Equations with Fast Oscillations	3
Non-concave Expected Utility Optimization with Uncertain Time Horizon	3
Propagation of Chaos of Forward–Backward Stochastic Differential Equations with Graphon Interactions	3
Optimal Controls of Stochastic Differential Equations with Jumps and Random Coefficients: Stochastic Hamilton–Jacobi–Bellman Equations with Jumps	3
Nash Equilibria for Total Expected Reward Absorbing Markov Games: The Constrained and Unconstrained Cases	3
Optimal Distributed Control for a Viscous Non-local Tumour Growth Model	3
Decay Rate Estimates for the Wave Equation with Subcritical Semilinearities and Locally Distributed Nonlinear Dissipation	3
Subexponential Upper and Lower Bounds in Wasserstein Distance for Markov Processes	3
Stochastic Optimal Control of a Doubly Nonlinear PDE Driven by Multiplicative Lévy Noise	3
Local and Global Existence and Uniqueness of Solution and Local Well-Posednesss for Abstract Fractional Differential Equations with State-Dependent Delay	3
Wong–Zakai Approximation for Landau–Lifshitz–Gilbert Equation Driven by Geometric Rough Paths	3
Shape Sensitivity of Eigenvalue Functionals for Scalar Problems: Computing the Semi-derivative of a Minimum	3
A Non-autonomous Damped Wave Equation with a Nonlinear Memory Term	3
The Square Root Normal Field Distance and Unbalanced Optimal Transport	3
Stabilization Results of a Piezoelectric Beams with Partial Viscous Dampings and Under Lorenz Gauge Condition	2
HJ Inequalities Involving Lie Brackets and Feedback Stabilizability with Cost Regulation	2
The Stochastic Gierer–Meinhardt System	2
A Unified Approach to Shape and Topological Sensitivity Analysis of Discretized Optimal Design Problems	2
Homogenization of a Locally Periodic Oscillating Boundary	2
Systems of Fully Nonlinear Parabolic Obstacle Problems with Neumann Boundary Conditions	2
Sequential Stochastic Control (Single or Multi-Agent) Problems Nearly Admit Change of Measures with Independent Measurement	2
Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Infinite Dimensional Systems Under State Constraints and Mixed Pointwise Constraints	2
Singular Control of the Drift of a Brownian System	2
Multi–component Cahn–Hilliard Systems with Singular Potentials: Theoretical Results	2
Analysis of General Shape Optimization Problems in Nonlinear Acoustics	2
Porous-elastic Plates: Fourier Versus Type III	2
Transport Type Metrics on the Space of Probability Measures Involving Singular Base Measures	2
Stability and Dynamics for Lamé System with Degenerate Memory and Time-Varying Delay	2
Machine Learning Architectures for Price Formation Models	2
Well-Posedness and Stability for Schrödinger Equations with Infinite Memory	2
Global Boundedness of Solutions to a Quasilinear Chemotaxis System with Nonlocal Nonlinear Reaction	2
Polyak–Łojasiewicz inequality on the space of measures and convergence of mean-field birth-death processes	2
Stabilization of 3D Navier–Stokes Equations to Trajectories by Finite-Dimensional RHC	2
On an Ergodic Two-Sided Singular Control Problem	2
Asymptotics for Wave Equations with Damping Only on the Dynamical Boundary	2
Time-Domain Decomposition for Mixed-Integer Optimal Control Problems	2
Consistency of Monte Carlo Estimators for Risk-Neutral PDE-Constrained Optimization	2
Stackelberg–Nash Null Controllability for a Non Linear Coupled Degenerate Parabolic Equations	2
Global Solution and Optimal Control of an Epidemic Propagation with a Heterogeneous Diffusion	2

Mean Field Approximation of an Optimal Control Problem for the Continuity Equation Arising in Smart Charging	2
Normality, Controllability and Properness in Optimal Control	2
Existence of Pseudo-Relative Sharp Minimizers in Set-Valued Optimization	2
Explicit and Implicit Non-convex Sweeping Processes in the Space of Absolutely Continuous Functions	2
Remarks on the Vanishing Viscosity Process of State-Constraint Hamilton–Jacobi Equations	2
Existence of Global Attractors for a Semilinear Wave Equation with Nonlinear Boundary Dissipation and Nonlinear Interior and Boundary Sources with Critical Exponents	2
On Optimality of Barrier Dividend Control Under Endogenous Regime Switching with Application to Chapter 11 Bankruptcy	2
Well-Posedness for a Coupled System of Kawahara/KdV Type Equations	2
What if We Knew What the Future Brings? Optimal Investment for a Frontrunner with Price Impact	2
A Game Representation for a Finite Horizon State Constrained Continuous Time Linear Regulator Problem	2
Strong Stationarity for Optimal Control Problems with Non-smooth Integral Equation Constraints: Application to a Continuous DNN	2
Constrained Discounted Stochastic Games	2
A New System of Differential Quasi-Hemivariational Inequalities in Contact Mechanics	2
Optimal Control of Hughes’ Model for Pedestrian Flow via Local Attraction	2
The Time Optimal Control of Two Dimensional Convective Brinkman–Forchheimer Equations	2
Parameter Sensitivity Analysis for Mean Field Games of Production	2
On the Structure of Optimal Transportation Plans between Discrete Measures	2
Optimal Control of a Quasilinear Parabolic Equation and its Time Discretization	2
Finite Element Methods for Isotropic Isaacs Equations with Viscosity and Strong Dirichlet Boundary Conditions	2
Null Controllability for a Degenerate Population Equation with Memory	2
Differential Stability of Discrete Optimal Control Problems with Possibly Nondifferentiable Costs	2
Existence and Continuity of Inertial Manifolds for the Hyperbolic Relaxation of the Viscous Cahn–Hilliard Equation	2
On the Resolution of the Variational Inequalities of the First and the Second Kind as Equations Obtained by Explicit Moreau–Yosida Regularizations	2
On Fejes Tóth’s Conjectured Maximizer for the Sum of Angles Between Lines	2
Multilevel Selective Harmonic Modulation via Optimal Control	2
Exploiting Characteristics in Stationary Action Problems	2
Functional Law of Large Numbers and PDEs for Epidemic Models with Infection-Age Dependent Infectivity	2
Discrete Approximations and Optimality Conditions for Controlled Free-Time Sweeping Processes	2
A Zero-Sum Poisson Stopping Game with Asymmetric Signal Rates	2
Asymptotic Stability of Energy for a Weak Viscoelastic Plate Equation with Complementary Frictional Damping	2
Nash Equilibria Strategies and Equivalent Single-Objective Optimization Problems. The Case of Linear Partial Differential Equations	2
Generalized Conditional Gradient and Learning in Potential Mean Field Games	2
Control in Probability for SDE Models of Growth Population	2
Global Solutions and Blow-Up for the Wave Equation with Variable Coefficients: I. Interior Supercritical Source	2
Global Well-Posedness, Mean Attractors and Invariant Measures of Generalized Reversible Gray–Scott Lattice Systems Driven by Nonlinear Noise	2
The Maximization of the First Eigenvalue for a Two-Phase Material	2
Scaling Limit for Stochastic Control Problems in Population Dynamics	1
Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on $$L^2(\Omega )$$ Under Control Constraints	1
The Clarke Coderivative of the Frontier Map in a Multi-objective Optimal Control Problem	1
Finite Horizon Optimal Dividend and Reinsurance Problem Driven by a Jump-Diffusion Process with Controlled Jumps	1
A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier–Stokes Equations	1
Fenchel Conjugate via Busemann Function on Hadamard Manifolds	1
Optimal Dividend Strategies in a Renewal Risk Model with Phase-Type Distributed Interclaim Times	1
Dynamic Programming Principle for Classical and Singular Stochastic Control with Discretionary Stopping	1
Global Approximate Controllability of the Korteweg-de Vries Equation by a Finite-Dimensional Force	1
Existence of Controls Insensitizing the Rotational of the Solution of the Navier–Stokes System Having a Vanishing Component	1
Stability for Locally Coupled Wave-Type Systems with Indirect Mixed-Type Dampings	1
Labor Supply Flexibility and Portfolio Selection with Early Retirement Option	1
Fast Continuous Dynamics Inside the Graph of Subdifferentials of Nonsmooth Convex Functions	1
Correction to: Optimal Control of a Phase Field System Modelling Tumor Growth with Chemotaxis and Singular Potentials	1
Optimal Control of a Nonlinear PDE Governed by Fractional Laplacian	1
Statistical Arbitrage for Multiple Co-integrated Stocks	1
Optimal Control for Suppression of Singularity in Chemotaxis via Flow Advection	1
Large-Time Asymptotic Behaviors for Linear Blackstock’s Model of Thermoviscous Flow	1
Relationship Between the Maximum Principle and Dynamic Programming for Minimax Problems	1
Determination of the Space-Dependent Source Term in a Fourth-Order Parabolic Problem	1
Sharp-Interface Limit of a Multi-phase Spectral Shape Optimization Problem for Elastic Structures	1
On the Controllability of a Free-Boundary Problem for 1D Heat Equation with Local and Nonlocal Nonlinearities	1
Existence and Uniqueness of Solutions for a Class of Discrete-Time Fractional Equations of order $$2<\alpha \le 3$$	1
Stochastic Maximum Principle for Optimal Liquidation with Control-Dependent Terminal Time	1
Numerical Approximation of the Solution of an Obstacle Problem Modelling the Displacement of Elliptic Membrane Shells via the Penalty Method	1
Carleman Estimates and Simultaneous Boundary Controllability of Uncoupled Wave Equations	1
Fast Convergence of Inertial Dynamics with Hessian-Driven Damping Under Geometry Assumptions	1
Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach	1
$$L_p$$–$$L_q$$-Theory for a Quasilinear Non-isothermal Westervelt Equation	1
Optimal Temperature Distribution for a Nonisothermal Cahn–Hilliard System with Source Term	1
A Class of Double Phase Mixed Boundary Value Problems: Existence, Convergence and Optimal Control	1
Evolutionary Quasi-variational Hemivariational Inequalities: Existence and Parameter Identification	1
Optimal Convergence Rates for Damped Inertial Gradient Dynamics with Flat Geometries	1
Shape-Programming in Hyperelasticity Through Differential Growth	1
Evolution Equations with Sectorial Operator on Fractional Power Scales	1
Exact Internal Controllability for a Problem with Imperfect Interface	1
Various Perturbations of Time Dependent Maximal Monotone/Accretive Operators in Evolution Inclusions with Applications	1
Analysis of the Finite-State Ergodic Master Equation	1
Optimal Control of the FitzHugh–Nagumo Stochastic Model with Nonlinear Diffusion	1
Structural Changes in Nonlocal Denoising Models Arising Through Bi-Level Parameter Learning	1
Correction to: On Nonlocal Variational and Quasi-Variational Inequalities with Fractional Gradient	1
Exponential Stabilization of the Wave Equation on Hyperbolic Spaces with Nonlinear Locally Distributed Damping	1
Bi-spatial Pullback Attractors of Non-autonomous p-Laplacian Equations on Unbounded Thin Domains	1
An Isoperimetric Sloshing Problem in a Shallow Container with Surface Tension	1
Convex and Nonconvex Sweeping Processes with Velocity Constraints: Well-Posedness and Insights	1
Quasi-stability and Upper Semicontinuity for Coupled Wave Equations with Fractional Damping	1
$$L^1$$ Transport Energy	1
Infinite Horizon Optimal Control for a General Class of Semilinear Parabolic Equations	1
Semidiscrete Shocks for the Full Velocity Difference Model	1
On the Continuity of the Projection Mapping from Strategic Measures to Occupation Measures in Absorbing Markov Decision Processes	1
Nonzero-Sum Risk-Sensitive Continuous-Time Stochastic Games with Ergodic Costs	1
Stackelberg Game Approach to Mixed Stochastic $$H_{2}/H_{\infty }$$ Control for Mean-Field Jump-Diffusions Systems	1
A Primal-Dual Partial Inverse Algorithm for Constrained Monotone Inclusions: Applications to Stochastic Programming and Mean Field Games	1
On Quasi-Stationary Mean Field Games of Controls	1
The Elastic Flow with Obstacles: Small Obstacle Results	1
On Explicit Abstract Neutral Differential Equations with State-Dependent Delay	1
Optimal Investment with a Noisy Signal of Future Stock Prices	1
A Piecewise Deterministic Limit for a Multiscale Stochastic Spatial Gene Network	1
Mean-Variance Asset-Liability Management in a Non-Markovian Regime-Switching Jump-Diffusion Market with Random Horizon	1