Applied Mathematics and Optimization

Article	Citations
Almost Sectorial Operators in Fractional Superdiffusion Equations	54
Differential Stability of Discrete Optimal Control Problems with Possibly Nondifferentiable Costs	29
On the Improvement of the Barzilai–Borwein Step Size in Variance Reduction Methods	26
On a Chemotaxis-Generalized Navier–Stokes System with Rotational Flux: Global Classical Solutions and Stabilization	24
Analysis of Subdifferentials of Marginal and Performance Functions	23
Improved Description of Blaschke–Santaló Diagrams via Numerical Shape Optimization	22
Local and Global Existence and Uniqueness of Solution and Local Well-Posednesss for Abstract Fractional Differential Equations with State-Dependent Delay	21
Sensitivity Analysis and Optimal Control for a Friction Problem in the Linear Elastic Model	18
The Sticky Particle Dynamics of the 1D Pressureless Euler-Alignment System as a Gradient Flow	18
Topological Derivative Method for Design and Control of Timoshenko Beam Networks	18
Bilevel Optimization of the Kantorovich Problem and Its Quadratic Regularization	16
Continuous-Time Risk-Sensitive Reinforcement Learning via Quadratic Variation Penalty	15
Optimal Dividend Payout with Path-dependent Drawdown Constraint	14
Viscosity Solutions of the Eikonal Equation on the Wasserstein Space	14
Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting	14
Exponential Characterization in Linear Viscoelasticity Under Delay Perturbations	13
Infinite Horizon Optimal Control for a General Class of Semilinear Parabolic Equations	13
Carleman Estimates and Simultaneous Boundary Controllability of Uncoupled Wave Equations	13
Topological Derivative of the Thermo-Electro-Mechanical Coupled Problem	12
Well-Posedness and Asymptotic Analysis of Wave Equation with Nonlocal Boundary Damping	12
Convexification Numerical Method for the Retrospective Problem of Mean Field Games	11
Pontryagin’s Principle for Some Probabilistic Control Problems	11
Stochastic Optimal Switching Problem with Non Signed Switching Payments	11
Optimal Control of a Quasilinear Parabolic Equation and its Time Discretization	11
Zero-Sum Stochastic Linear-Quadratic Stackelberg Differential Games with Jumps	11

A First-Order Mean-Field Game on a Bounded Domain with Mixed Boundary Conditions	11
Multi-parameter Robustness of Random Attractors for Non-autonomous Stochastic Lamé Systems	10
Approximations with Performance Bounds for a Class of Average Cost Markov Decision Processes with Weakly Continuous Kernel and Unbounded Cost Function	10
Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach	10
$$L^p$$-Estimate for Infinite Horizon Decoupled Forward–Backward Stochastic Differential Equations with Jumps	10
The Howard’s Policy Iteration and Convergence for Optimal Dividend Under Compound-Poisson Model	10
Policy Iteration for Exploratory Hamilton–Jacobi–Bellman Equations	9
Large-Time Asymptotic Behaviors for Linear Blackstock’s Model of Thermoviscous Flow	9
Singleton Sets Random Attractors for Lattice Dynamical Systems Driven by a Fractional Brownian Motion Revisited	9
Determination of Singular Control in the Optimal Management of Natural Resources	9
Optimality Conditions for Sparse Optimal Control of Viscous Cahn–Hilliard Systems with Logarithmic Potential	9
Instability and Stability Analysis of Three-Dimensional Nonhomogeneous Incompressible Viscous Flows with Navier-Slip Boundary Conditions	9
Well-Posedness and Dynamical Properties for Extensible Beams with Nonlocal Frictional Damping and Polynomial Nonlinearity	9
Inexact Catching-Up Algorithm for Moreau’s Sweeping Processes	9
Stochastic Collocation Method for Stochastic Optimal Boundary Control of the Navier–Stokes Equations	9
Kinetic Energy and Streamline Properties for Irrotational Equatorial Wind Waves	8
Homogenization of Semi-linear Optimal Control Problems on Oscillating Domains with Matrix Coefficients	8
Before and After Default: Information and Optimal Portfolio via Anticipating Calculus	8
Optimal Investment with a Noisy Signal of Future Stock Prices	8
Entropic Mean-Field Min–Max Problems via Best Response Flow	8
Lipschitz Multivalued Perturbations of Integro-differential Prox-Regular Sweeping Processes	8
Lévy Driven Stochastic Heat Equation with Logarithmic Nonlinearity: Well-Posedness and Large Deviation Principle	8
Non-Markovian Mean-Variance Portfolio Selection Problems via Closed-Loop Equilibrium Strategies	8
Exact Controllability of Hemivariational Inequalities in Banach spaces	8
Optimal Control of a New Class of Parabolic Quasi Variational–Hemivariational Inequality	7
Asymptotics of Impulse Control Problem with Multiplicative Reward	7
Semidiscrete Shocks for the Full Velocity Difference Model	7
Publisher Correction: Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions	7
Core-Radius Approximation of Singular Minimizers in Nonlinear Elasticity	7
Fast Convergence of Inertial Dynamics with Hessian-Driven Damping Under Geometry Assumptions	7
Large Deviations and Optimal Control for Markov Decision Processes	7
Optimal Convergence Rates in the Averaging Principle for Multiscale FBSDEs with Lipschitz Coefficients	7
Error Estimates for Fractional Semilinear Optimal Control on Lipschitz Polytopes	7
A Non Linear Optimal Control Problem Related to a Road De-icing Device: Analysis and Numerical Experiments	7
A McKean–Vlasov Game of Commodity Production, Consumption and Trading	7
On the Existence of Global Weak Solutions to the 3D Electrically Conductive Rosensweig System and Their Convergence Towards Quasi-Equilibrium	7
On a Class of Distribution Dependent Stochastic Differential Equations Driven by Time-Changed Brownian Motions	7
Finite State Mean Field Games with Common Shocks	7
$$L_p$$–$$L_q$$-Theory for a Quasilinear Non-isothermal Westervelt Equation	7
Multi–component Cahn–Hilliard Systems with Singular Potentials: Theoretical Results	7
Optimal Control for Optical Solitons in Nematic Liquid Crystals	7
Machine Learning Architectures for Price Formation Models	7
Chambolle–Pock’s Primal-Dual Method with Mismatched Adjoint	7
Biorthogonal Functions for Complex Exponentials and an Application to the Controllability of the Kawahara Equation Via a Moment Approach	7
Finite Horizon Optimal Dividend and Reinsurance Problem Driven by a Jump-Diffusion Process with Controlled Jumps	7
Numerical Shape Optimization Among Convex Sets	7
Numerical Approximations for Partially Observed Optimal Control of Stochastic Partial Differential Equations	7
Optimal Boundary Control of the Isothermal Semilinear Euler Equation for Gas Dynamics on a Network	6
Global Well-Posedness of Stochastic Nematic Liquid Crystals with Random Initial and Boundary Conditions Driven by Multiplicative Noise	6
Limiting Behavior of Invariant Measures for Stochastic Quasilinear Parabolic Equations with Nonlinear Noise on Thin Domains	6

A Class of Multivalued Quasi-Variational Inequalities with Applications	6
Functional Central Limit Theorem and Strong Law of Large Numbers for Stochastic Gradient Langevin Dynamics	6
Carleman Estimate for Semi-discrete Stochastic Parabolic Operators in Arbitrary Dimension and Applications to Controllability	6
The Optimal Control Problem of Fully Coupled FBSDEs Driven by Sub-diffusion with Applications	6
A Selection Procedure for Extracting the Unique Feller Weak Solution of Degenerate Diffusions	6
Optimal Control Problem of Evolution Equation Governed by Hypergraph Laplacian	6
Non-asymptotic Convergence Rates for Mean-Field Games: Weak Formulation and McKean–Vlasov BSDEs	6
Large Deviations For Synchronized System	6
Zero-Sum Non-stationary Stochastic Games with the Long-Run Average Criterion	6
Global Existence and Decay Property for the Cauchy Problem of the Nonlinear MGT Plate Equation	6
Infinite Horizon Mean-Field Linear Quadratic Optimal Control Problems with Jumps and the Related Hamiltonian Systems	6
Adjoint-Based Calibration of Nonlinear Stochastic Differential Equations	6
Null Controllability for a Degenerate Population Equation with Memory	6
An Optimal Control Problem Related to a Parabolic–Elliptic Chemo-repulsion System in 2D Domains	6
An Optimal Uniqueness Result for Riccati Equations Arising in Abstract Parabolic Control Problems	6
Moderate Deviations for Two-Time Scale Systems with Mixed Fractional Brownian Motion	6
Asymptotic Behavior of Rao–Nakra Sandwich Beam with Nonlinear Localized Damping and Source Terms	6
Segmentation in Measure Spaces	6
A New Result for Boundedness in a Quasilinear Two-Species Chemotaxis System with Two Chemicals	6
Extremal Eigenvalues of Weighted Steklov Problems	6
Two-Phase Newtonian Returning Fluid Model via a System of Variational–Hemivariational Inequalities	6
Mean-Field Games of Optimal Stopping: Master Equation and Weak Equilibria	5
Carleman Estimates and Controllability for Degenerate Wave Equations	5
A Hierarchical Control Problem for the Benney–Lin Equation Using Stackelberg–Nash Strategy	5
Well-Posedness and Existence of Global and Exponential Attractors for a Nonlinear Model of a Bresse-Type Deck Bridge	5
Partial Regularity for the Three-Dimensional Stochastic Ericksen–Leslie Equations	5
Functional Law of Large Numbers and PDEs for Epidemic Models with Infection-Age Dependent Infectivity	5
Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds	5
On a Shear Thermoelastic Bresse System: Well Posedness and Stability	5
Existence and Multiplicity of Solutions for Double Phase Problem on Non-Compact Riemannian Manifolds	5
Convergence Analysis of a Differential Variational Inequality	5
Controllability Problem of a Second-Order Evolution Equation with Memory	5
Exponential Stability for the Coupled Klein–Gordon–Schrödinger Equations with Competing Viscoelastic and Frictional Dissipative Effects	5
Higher Regularity and Finite Time Blow-up to Nonlocal Pseudo-parabolic Equation with Conical Degeneration	5
A Second Order Primal–Dual Dynamical System for a Convex–Concave Bilinear Saddle Point Problem	5
Optimal Control for Suppression of Singularity in Chemotaxis via Flow Advection	5
Regularization and Two Time Scales for Convergence of Reinforcement Learning	5
Continuous Time q-Learning for Mean-Field Control Problems	5
Pullback Measure Attractors for Non-autonomous Fractional Stochastic Reaction-Diffusion Equations on Unbounded Domains	5
State-Constrained Optimal Control of a Coupled Quasilinear Parabolic System Modeling Economic Growth in the Presence of Technological Progress	5
Correction: Discrete-Time Shadow Price Revisited	5
Actor-Critic Reinforcement Learning Algorithms for Mean Field Games in Continuous Time, State and Action Spaces	5
Nash Equilibria for Total Expected Reward Absorbing Markov Games: The Constrained and Unconstrained Cases	5
Generalized exponential $${\mathfrak {D}}_{\mathcal {C}^*}$$–pullback attractor for a nonautonomous wave equation	5
A Nonlocal Cahn–Hilliard–Darcy System with Singular Potential, Degenerate Mobility, and Sources	5
Numerical Aspect of Uniform Ensemble Controllability for Linear Systems	5
Shape-Programming in Hyperelasticity Through Differential Growth	5
Analysis of Multiscale Reinforcement Q-Learning Algorithms for Mean Field Control Games	5
Long Run Stochastic Control Problems with General Discounting	5
On the Well-Posedness and Long Time Dynamics for a Coupled Nonlinear Bridge System with Past History	4
Global Zero-Relaxation Limit for a Two-Fluid Euler–Poisson System	4
Analysis of an Optimal Control Problem for the Navier–Stokes System with Tresca Boundary Conditions	4
A Posteriori Error Estimates for a Bang–Bang Optimal Control Problem	4
Martingale Solutions of the Stochastic Electroconvection Equations on $${\mathbb {R}}^2$$ with Multiplicative Noise	4
Maximum Principles for Conditional Mean Field Type Control Problems Under Partial and Full Observation with Applications	4
Dissipativity in Infinite Horizon Optimal Control and Dynamic Programming	4
Stability and Regularity of Coupled Plates Transmission System with Fractional Rotational Force and Fractional Damping	4
Learning-Informed Parameter Identification in Nonlinear Time-Dependent PDEs	4
Approximate Optimal Control of Fractional Impulsive Partial Stochastic Differential Inclusions Driven by Rosenblatt Process	4
Finite-Time Blowup in a Parabolic-Parabolic-Elliptic Chemotaxis Model Involving Indirect Signal Production	4
Polyak–Łojasiewicz inequality on the space of measures and convergence of mean-field birth-death processes	4
Optimal Control Problem Associated with Three-Dimensional Critical Convective Brinkman-Forchheimer Equations	4
Uniform Large Deviation Principle for the Solutions of Two-Dimensional Stochastic Navier–Stokes Equations in Vorticity Form	4
Optimal Convergence Rates for Damped Inertial Gradient Dynamics with Flat Geometries	4
Regularity and Stabilization of Magneto-Elastic Systems	4
Statistical Estimation of Mean-Field Equilibria in a Class of Discounted Mean-Field Games	4
Infinite Horizon Control Problems for Semilinear Parabolic Equations with Pointwise State Constraints	4
Fitted Value Iteration Methods for Bicausal Optimal Transport	4
Control in Probability for SDE Models of Growth Population	4
Importance Sampling for the Empirical Measure of Weakly Interacting Diffusions	4
Fractional, Semilinear, and Sparse Optimal Control: A Priori Error Bounds	4
Entire Solutions of Stochastic Unbounded Delay Evolution Variational Inequalities Driven by Tempered Fractional Noise with an Exponential Dichotomy	4
Generalized Wasserstein Barycenters	3
Concentration Phenomena of Normalized Solutions to the Critical Fractional Relativistic Schrödinger Equation with Competing Potentials	3
Convergence of the Stochastic Navier–Stokes-$$\alpha $$ Solutions Toward the Stochastic Navier–Stokes Solutions	3
Long-Time Behaviors of Stochastic Linear-Quadratic Optimal Control Problems	3
Minimization of the Buckling Load of a Clamped Plate with Perimeter Constraint	3
Well-Posedness and Large Deviations of Fractional McKean-Vlasov Stochastic Reaction-Diffusion Equations on Unbounded Domains	3
Limiting Behavior of Random Attractors of Stochastic Supercritical Wave Equations Driven by Multiplicative Noise	3
Multilevel Selective Harmonic Modulation via Optimal Control	3

MF-OML: Online Mean-Field Reinforcement Learning with Occupation Measures for Large Population Games	3
Distributionally Robust Chance-Constrained Markov Decision Processes with Random Payoff	3
Concentration Phenomena of Sign-Changing Solutions for the Planar Schrödinger-Poisson Systems	3
A Busemann Hybrid Projection-Proximal Point Algorithm for Optimization Problems on Hadamard Manifolds	3
Labor Supply Flexibility and Portfolio Selection with Early Retirement Option	3
Boundedness and Unboundedness in Total Variation Regularization	3
Polynomial Mixing of a Stochastic Wave Equation with Dissipative Damping	3
Bilevel Optimization of the Kantorovich Problem and Its Quadratic Regularization	3
Multiplicity and Stability of Normalized Solutions in Nonlocal Double Phase Problems	3
Solvability of Coupled Forward–Backward Volterra Integral Equations	3
An Improvement to Prandtl’s 1933 Model for Minimizing Induced Drag	3
Generalized Dynkin Games and Doubly Reflected BSDEs Driven by RCLL Martingales	3
Constraint Qualification with Schauder Basis for Infinite Programming Problems	3
Modelling of Poro-Acoustic Media	3
Time-Inconsistent Linear-Quadratic Social Optima for Large Population System	3
Strong Duality in Infinite Convex Optimization	3
Fenchel Conjugate via Busemann Function on Hadamard Manifolds	3
Efficient Douglas–Rachford Methods on Hadamard Manifolds with Applications to the Heron Problems	3
Averaging Principle for Two Time-Scales Stochastic Partial Differential Equations with Reflection	3
A Shape Condition for Exponential Characterization of Timoshenko Systems with Non-smooth Memory Effects	3
On the Strong Subregularity of the Optimality Mapping in an Optimal Control Problem with Pointwise Inequality Control Constraints	3
The Effect of Boundary Geometry in Nonlocal Critical Problems with Hardy-Littlewood-Sobolev Exponent	3
Continuity Properties of Pullback and Pullback Exponential Attractors for Non-autonomous Plate with $$p-$$Laplacian	3
Transport Type Metrics on the Space of Probability Measures Involving Singular Base Measures	3
Viscosity Solutions of a Class of Second Order Hamilton–Jacobi–Bellman Equations in the Wasserstein Space	3
Convergence of Random Attractors for Stochastic Delay p-Laplacian Equation Driven by Nonlinear Colored Noise on Unbounded Thin Domains	3
A Zero-Sum Deterministic Impulse Controls Game in Infinite Horizon with a New HJBI-QVI	3
Uniform Measure Attractors for Non-autonomous Stochastic Delayed Lattice Systems with Higher-Order Nonlinear Noise	3
Fractional (p, q)-Schrödinger Equations with Critical and Supercritical Growth	3
An Isoperimetric Sloshing Problem in a Shallow Container with Surface Tension	3
Optimal Regularity and the Sharp Saturation Exponent for the 3D Keller–Segel–Stokes System	3
Global Weak Solutions to a Two-Dimensional Doubly Degenerate Nutrient Taxis System with Logistic Source	2
Exponential Stabilization of a Semi Linear Third Order in Time Equation with Memory	2
Attractors for Singular-Degenerate Porous Medium Type Equations Arising in Models for Biofilm Growth	2
Simultaneous Exact Boundary Controllability of Final State and Nodal Profile for Quasilinear Hyperbolic Systems	2
Asymptotic Behavior of Wave Equations with Critical Nonlinearity, Nonlocal Weak Damping and Nonlinear Colored Noise	2
Stabilization for the Transmission Wave/Plate Equation with Variable Coefficients and a Time-Varying Delay on the Viscoelastic Boundary	2
Relationship Between Stochastic Maximum Principle and Dynamic Programming Principle Under Convex Expectation	2
Cyber Risk Prevention Under Risk Averse Spectral Criteria	2
Effects of Kelvin–Voigt Damping on the Stability of (Thermo)Elastic Timoshenko System with Second Sound	2
Correction: Two-Player Diffusion Control Games with Private Information	2
Multiple Normalized Solutions for Kirchhoff Systems in Mass-Mixed Regimes	2
Discrete-Time Mean-Field Stochastic Control with Partial Observations	2
Limiting Dynamics of BBM Equations with Nonlinear Colored Noise and Time-Delay on Unbounded Channel	2
Optimal Control for Coupled Sweeping Processes Under Minimal Assumptions	2
Numerical Method for Nonlinear Kolmogorov PDEs via Sensitivity Analysis	2
Approximating Inequality Systems Within Probability Functions: Studying Implications for Problems and Consistency of First-Order Information	2
On the Time Consistent Solution to Optimal Stopping Problems with Expectation Constraint	2
Analysis of District Heating Networks	2
Linear-Quadratic Mean-Field Backward Stackelberg Game with Mixed Terminal Perturbation	2
Stochastic 3D Globally Modified Navier–Stokes Equations: Weak Attractors, Invariant Measures and Large Deviations	2
Policy Optimization for Reinforcement Learning in Continuous Time and Space	2
Bang–Bang Control of a Prey–Predator Model with a Stable Food Stock and Hysteresis	2
Sensitivity Analysis of an Optimal Control Problem Driven by Differential Hemivariational Inequality for Nonstationary Thermistor Systems	2
On the Global Convergence of Particle Swarm Optimization Methods	2
Intrinsic Regularization by Noise for 1d Mean Field Games	2
Closed-Loop Solvability of Linear Quadratic Mean-Field Type Stackelberg Stochastic Differential Games	2
Boundary Bilinear Control of Semilinear Parabolic PDEs: Quadratic Convergence of the SQP Method	2
Heavy Ball and Nesterov Accelerations with Hessian-Driven Damping for Nonconvex Optimization	2
Estimates of Exponential Convergence for Solutions of Stochastic Nonlinear Systems	2
Global Weak Solutions in a Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy with Nonlinear Diffusion	2
A Complexity Analysis Framework for Active Manifold Identification with Applications to $$L_0$$ and $$L_p$$ Regularization Models	2
Propagation of Chaos of Forward–Backward Stochastic Differential Equations with Graphon Interactions	2
Optimal Investment in an Illiquid Market with Search Frictions and Transaction Costs	2
Necessary Optimality Conditions for Minimax Multiprocesses	2
On the Stability of Thermoelastic Bresse System Under Non-global Cattaneo’s Law on Both Bending Moment and Axial Force	2
Topological Derivative for Kirchhoff–Love Shells	2
Strong Stationarity for Optimal Control Problems with Non-smooth Integral Equation Constraints: Application to a Continuous DNN	2
Evolutionary Quasi-variational Hemivariational Inequalities: Existence and Parameter Identification	2
Scaling Limit for Stochastic Control Problems in Population Dynamics	2
McKean-Vlasov SPDEs Driven by Poisson Random Measure: Well-Posedness and Large Deviation Principle	2
Inverse Coefficient Problem for the Coupled System of Fourth and Second Order Partial Differential Equations	2
Global Well-posedness of the Nonhomogeneous Initial Boundary Value Problem for the Hirota Equation Posed in a Finite Domain	2
Well-posedness for the Cahn-Hilliard-Navier-Stokes Equations Perturbed by Gradient-Type Noise, in Two Dimensions	2
Mean Field Markov Decision Processes	2
Weak Closed-Loop Solvability of Linear Quadratic Stochastic Optimal Control Problems with Partial Information	2
On the Continuity of the Projection Mapping from Strategic Measures to Occupation Measures in Absorbing Markov Decision Processes	2
Stopper vs. Singular Controller Games With Degenerate Diffusions	2
Bi-spatial Pullback Attractors of Non-autonomous p-Laplacian Equations on Unbounded Thin Domains	2
Finite Approximations for Mean-Field Type Multi-agent Control and Their Near Optimality	2
Tilt Stability on Riemannian Manifolds with Application to Convergence Analysis of Generalized Riemannian Newton Method	2
An Operatorial Approach of the Well-Posedness of an Algebraic Riccati Equation	2
Hamilton–Jacobi–Bellman Approach for Optimal Control Problems of Sweeping Processes	2
Stochastic Maximum Principle for Optimal Control Problem with Varying Terminal Time and Non-convex Control Domain	2
A New System of Differential Quasi-Hemivariational Inequalities in Contact Mechanics	2
Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems	2
Asymptotic Analysis of Maxwell’s Equations to Study Shielding Through a Thin Periodic Perforated Metallic Layer	2
A Generalization of Hoffman’s Lemma in Banach Spaces and Applications	2
A Frequency Domain Approach to the Stabilization of the Kirchhoff Plate Equation via Only Neumann Boundary Feedback	2
Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions	2
An Optimal Multibarrier Strategy for a Singular Stochastic Control Problem with a State-Dependent Reward	1
Riemannian Smoothing Gradient Type Algorithms for Nonsmooth Optimization Problem on Compact Riemannian Submanifold Embedded in Euclidean Space	1
Quasi-stability and Upper Semicontinuity for Coupled Wave Equations with Fractional Damping	1
Constrained Optimal Control Problems for Parabolic PDEs with Initial Data in Besov Spaces	1
Global Approximate Controllability of the Korteweg-de Vries Equation by a Finite-Dimensional Force	1