OOIR: Observatory of International Research

Papers

(The TQCC of Applied Mathematics and Optimization is 4. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-08-01 to 2026-08-01.)

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
Topological Derivative Method for Design and Control of Timoshenko Beam Networks	18
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
Bilevel Optimization of the Kantorovich Problem and Its Quadratic Regularization	16
Continuous-Time Risk-Sensitive Reinforcement Learning via Quadratic Variation Penalty	15
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
Optimal Dividend Payout with Path-dependent Drawdown Constraint	14
Infinite Horizon Optimal Control for a General Class of Semilinear Parabolic Equations	13
Carleman Estimates and Simultaneous Boundary Controllability of Uncoupled Wave Equations	13
Exponential Characterization in Linear Viscoelasticity Under Delay Perturbations	13
Well-Posedness and Asymptotic Analysis of Wave Equation with Nonlocal Boundary Damping	12
Topological Derivative of the Thermo-Electro-Mechanical Coupled Problem	12
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
Convexification Numerical Method for the Retrospective Problem of Mean Field Games	11

Pontryagin’s Principle for Some Probabilistic Control Problems	11
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
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
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
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
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
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
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 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
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
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
Global Well-Posedness of Stochastic Nematic Liquid Crystals with Random Initial and Boundary Conditions Driven by Multiplicative Noise	6
An Optimal Uniqueness Result for Riccati Equations Arising in Abstract Parabolic Control Problems	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
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
Optimal Boundary Control of the Isothermal Semilinear Euler Equation for Gas Dynamics on a Network	6
Non-asymptotic Convergence Rates for Mean-Field Games: Weak Formulation and McKean–Vlasov BSDEs	6
Large Deviations For Synchronized System	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
An Optimal Control Problem Related to a Parabolic–Elliptic Chemo-repulsion System in 2D Domains	6
Optimal Control Problem of Evolution Equation Governed by Hypergraph Laplacian	6
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
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
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
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