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 2022-05-01 to 2026-05-01.)

Article	Citations
Almost Sectorial Operators in Fractional Superdiffusion Equations	44
Differential Stability of Discrete Optimal Control Problems with Possibly Nondifferentiable Costs	39
On the Improvement of the Barzilai–Borwein Step Size in Variance Reduction Methods	28
On a Chemotaxis-Generalized Navier–Stokes System with Rotational Flux: Global Classical Solutions and Stabilization	23
The Sticky Particle Dynamics of the 1D Pressureless Euler-Alignment System as a Gradient Flow	21
Improved Description of Blaschke–Santaló Diagrams via Numerical Shape Optimization	19
Bilevel Optimization of the Kantorovich Problem and Its Quadratic Regularization	19
Local and Global Existence and Uniqueness of Solution and Local Well-Posednesss for Abstract Fractional Differential Equations with State-Dependent Delay	19
Analysis of Subdifferentials of Marginal and Performance Functions	19
Sensitivity Analysis and Optimal Control for a Friction Problem in the Linear Elastic Model	18
Topological Derivative Method for Design and Control of Timoshenko Beam Networks	17
Continuous-Time Risk-Sensitive Reinforcement Learning via Quadratic Variation Penalty	16
Optimal Dividend Payout with Path-dependent Drawdown Constraint	16
Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting	15
Viscosity Solutions of the Eikonal Equation on the Wasserstein Space	15
Exponential Characterization in Linear Viscoelasticity Under Delay Perturbations	14
Multi-parameter Robustness of Random Attractors for Non-autonomous Stochastic Lamé Systems	13
Carleman Estimates and Simultaneous Boundary Controllability of Uncoupled Wave Equations	12
Pontryagin’s Principle for Some Probabilistic Control Problems	11
Optimal Control of a Quasilinear Parabolic Equation and its Time Discretization	11
Infinite Horizon Optimal Control for a General Class of Semilinear Parabolic Equations	10
Existence and Uniqueness of Solutions for a Class of Discrete-Time Fractional Equations of order $$2<\alpha \le 3$$	10
Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach	10
Convexification Numerical Method for the Retrospective Problem of Mean Field Games	10
Stochastic Optimal Switching Problem with Non Signed Switching Payments	10

Policy Iteration for Exploratory Hamilton–Jacobi–Bellman Equations	10
A First-Order Mean-Field Game on a Bounded Domain with Mixed Boundary Conditions	10
Well-Posedness and Asymptotic Analysis of Wave Equation with Nonlocal Boundary Damping	10
Topological Derivative of the Thermo-Electro-Mechanical Coupled Problem	9
Statistical Arbitrage for Multiple Co-integrated Stocks	9
Determination of Singular Control in the Optimal Management of Natural Resources	9
Zero-Sum Stochastic Linear-Quadratic Stackelberg Differential Games with Jumps	9
Well-Posedness and Dynamical Properties for Extensible Beams with Nonlocal Frictional Damping and Polynomial Nonlinearity	9
Machine Learning Architectures for Price Formation Models	8
Stochastic Collocation Method for Stochastic Optimal Boundary Control of the Navier–Stokes Equations	8
Lipschitz Multivalued Perturbations of Integro-differential Prox-Regular Sweeping Processes	8
Singleton Sets Random Attractors for Lattice Dynamical Systems Driven by a Fractional Brownian Motion Revisited	8
Large-Time Asymptotic Behaviors for Linear Blackstock’s Model of Thermoviscous Flow	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
Exact Controllability of Hemivariational Inequalities in Banach spaces	8
Inexact Catching-Up Algorithm for Moreau’s Sweeping Processes	8
Entropic Mean-Field Min–Max Problems via Best Response Flow	8
Instability and Stability Analysis of Three-Dimensional Nonhomogeneous Incompressible Viscous Flows with Navier-Slip Boundary Conditions	8
Optimal Investment with a Noisy Signal of Future Stock Prices	8
Non-Markovian Mean-Variance Portfolio Selection Problems via Closed-Loop Equilibrium Strategies	7
Before and After Default: Information and Optimal Portfolio via Anticipating Calculus	7
On the Existence of Global Weak Solutions to the 3D Electrically Conductive Rosensweig System and Their Convergence Towards Quasi-Equilibrium	7
Asymptotics of Impulse Control Problem with Multiplicative Reward	7
Semidiscrete Shocks for the Full Velocity Difference Model	7
What if We Knew What the Future Brings? Optimal Investment for a Frontrunner with Price Impact	7
Optimality Conditions for Sparse Optimal Control of Viscous Cahn–Hilliard Systems with Logarithmic Potential	7
Binary Interaction Methods for High Dimensional Global Optimization and Machine Learning	7
Robust Time-Inconsistent Stochastic Linear-Quadratic Control with Drift Disturbance	7
Optimal Control for Optical Solitons in Nematic Liquid Crystals	7
Lévy Driven Stochastic Heat Equation with Logarithmic Nonlinearity: Well-Posedness and Large Deviation Principle	7
Chambolle–Pock’s Primal-Dual Method with Mismatched Adjoint	7
A McKean–Vlasov Game of Commodity Production, Consumption and Trading	7
A Non Linear Optimal Control Problem Related to a Road De-icing Device: Analysis and Numerical Experiments	7
Error Estimates for Fractional Semilinear Optimal Control on Lipschitz Polytopes	7
Infinite Horizon Mean-Field Linear Quadratic Optimal Control Problems with Jumps and the Related Hamiltonian Systems	6
Finite Horizon Optimal Dividend and Reinsurance Problem Driven by a Jump-Diffusion Process with Controlled Jumps	6
Biorthogonal Functions for Complex Exponentials and an Application to the Controllability of the Kawahara Equation Via a Moment Approach	6
$$L_p$$–$$L_q$$-Theory for a Quasilinear Non-isothermal Westervelt Equation	6
Zero-Sum Non-stationary Stochastic Games with the Long-Run Average Criterion	6
Non-asymptotic Convergence Rates for Mean-Field Games: Weak Formulation and McKean–Vlasov BSDEs	6
Adjoint-Based Calibration of Nonlinear Stochastic Differential Equations	6
Optimal Control of a New Class of Parabolic Quasi Variational–Hemivariational Inequality	6
Multi–component Cahn–Hilliard Systems with Singular Potentials: Theoretical Results	6
On a Class of Distribution Dependent Stochastic Differential Equations Driven by Time-Changed Brownian Motions	6
Large Deviations For Synchronized System	6
A New Result for Boundedness in a Quasilinear Two-Species Chemotaxis System with Two Chemicals	6
Functional Central Limit Theorem and Strong Law of Large Numbers for Stochastic Gradient Langevin Dynamics	6
A Class of Multivalued Quasi-Variational Inequalities with Applications	6
Core-Radius Approximation of Singular Minimizers in Nonlinear Elasticity	6

Publisher Correction: Differentiation with Respect to Domains of Boundary Integral Functionals Involving Support Functions	6
Numerical Shape Optimization Among Convex Sets	6
Fast Convergence of Inertial Dynamics with Hessian-Driven Damping Under Geometry Assumptions	6
Global Well-Posedness of Stochastic Nematic Liquid Crystals with Random Initial and Boundary Conditions Driven by Multiplicative Noise	6
Segmentation in Measure Spaces	6
An Optimal Control Problem Related to a Parabolic–Elliptic Chemo-repulsion System in 2D Domains	5
Carleman Estimate for Semi-discrete Stochastic Parabolic Operators in Arbitrary Dimension and Applications to Controllability	5
Shape-Programming in Hyperelasticity Through Differential Growth	5
Moderate Deviations for Two-Time Scale Systems with Mixed Fractional Brownian Motion	5
Optimal Control for Suppression of Singularity in Chemotaxis via Flow Advection	5
A Selection Procedure for Extracting the Unique Feller Weak Solution of Degenerate Diffusions	5
Existence and Multiplicity of Solutions for Double Phase Problem on Non-Compact Riemannian Manifolds	5
Well-Posedness and Existence of Global and Exponential Attractors for a Nonlinear Model of a Bresse-Type Deck Bridge	5
State-Constrained Optimal Control of a Coupled Quasilinear Parabolic System Modeling Economic Growth in the Presence of Technological Progress	5
Pullback Measure Attractors for Non-autonomous Fractional Stochastic Reaction-Diffusion Equations on Unbounded Domains	5
Analysis of Multiscale Reinforcement Q-Learning Algorithms for Mean Field Control Games	5
Actor-Critic Reinforcement Learning Algorithms for Mean Field Games in Continuous Time, State and Action Spaces	5
Higher Regularity and Finite Time Blow-up to Nonlocal Pseudo-parabolic Equation with Conical Degeneration	5
Optimal Control Problem of Evolution Equation Governed by Hypergraph Laplacian	5
Asymptotic Behavior of Rao–Nakra Sandwich Beam with Nonlinear Localized Damping and Source Terms	5
Global Existence and Decay Property for the Cauchy Problem of the Nonlinear MGT Plate Equation	5
Regularization and Two Time Scales for Convergence of Reinforcement Learning	5
A Hierarchical Control Problem for the Benney–Lin Equation Using Stackelberg–Nash Strategy	5
A Nonlocal Cahn–Hilliard–Darcy System with Singular Potential, Degenerate Mobility, and Sources	5
A Double Phase Problem Involving Hardy Potentials	5
Polyak–Łojasiewicz inequality on the space of measures and convergence of mean-field birth-death processes	5
On a Shear Thermoelastic Bresse System: Well Posedness and Stability	5
Long Run Stochastic Control Problems with General Discounting	5
Systems of Fully Nonlinear Parabolic Obstacle Problems with Neumann Boundary Conditions	5
Mean-Field Games of Optimal Stopping: Master Equation and Weak Equilibria	5
A Second Order Primal–Dual Dynamical System for a Convex–Concave Bilinear Saddle Point Problem	5
Null Controllability for a Degenerate Population Equation with Memory	5
An Optimal Uniqueness Result for Riccati Equations Arising in Abstract Parabolic Control Problems	5
Continuous Time q-Learning for Mean-Field Control Problems	5
Parameter Sensitivity Analysis for Mean Field Games of Production	5
Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds	5
Limiting Behavior of Invariant Measures for Stochastic Quasilinear Parabolic Equations with Nonlinear Noise on Thin Domains	5
Carleman Estimates and Controllability for Degenerate Wave Equations	5
Nash Equilibria for Total Expected Reward Absorbing Markov Games: The Constrained and Unconstrained Cases	5
A Posteriori Error Estimates for a Bang–Bang Optimal Control Problem	5
On the Structure of Optimal Transportation Plans between Discrete Measures	5
Functional Law of Large Numbers and PDEs for Epidemic Models with Infection-Age Dependent Infectivity	5
Optimal Boundary Control of the Isothermal Semilinear Euler Equation for Gas Dynamics on a Network	5
Partial Regularity for the Three-Dimensional Stochastic Ericksen–Leslie Equations	5
Generalized exponential $${\mathfrak {D}}_{\mathcal {C}^*}$$–pullback attractor for a nonautonomous wave equation	5
Control in Probability for SDE Models of Growth Population	4
Maximum Principles for Conditional Mean Field Type Control Problems Under Partial and Full Observation with Applications	4
An Isoperimetric Sloshing Problem in a Shallow Container with Surface Tension	4
Time-Inconsistent Linear-Quadratic Social Optima for Large Population System	4
Constraint Qualification with Schauder Basis for Infinite Programming Problems	4
Distributionally Robust Chance-Constrained Markov Decision Processes with Random Payoff	4
Learning-Informed Parameter Identification in Nonlinear Time-Dependent PDEs	4
Statistical Estimation of Mean-Field Equilibria in a Class of Discounted Mean-Field Games	4
Limiting Behavior of Random Attractors of Stochastic Supercritical Wave Equations Driven by Multiplicative Noise	4
On the Well-Posedness and Long Time Dynamics for a Coupled Nonlinear Bridge System with Past History	4
Approximate Optimal Control of Fractional Impulsive Partial Stochastic Differential Inclusions Driven by Rosenblatt Process	4
Martingale Solutions of the Stochastic Electroconvection Equations on $${\mathbb {R}}^2$$ with Multiplicative Noise	4
Fitted Value Iteration Methods for Bicausal Optimal Transport	4
Infinite Horizon Control Problems for Semilinear Parabolic Equations with Pointwise State Constraints	4
Optimal Convergence Rates for Damped Inertial Gradient Dynamics with Flat Geometries	4
Modelling of Poro-Acoustic Media	4
Minimization of the Buckling Load of a Clamped Plate with Perimeter Constraint	4
Determination of the Space-Dependent Source Term in a Fourth-Order Parabolic Problem	4
Stability and Regularity of Coupled Plates Transmission System with Fractional Rotational Force and Fractional Damping	4
Transport Type Metrics on the Space of Probability Measures Involving Singular Base Measures	4
Regularity and Stabilization of Magneto-Elastic Systems	4
Fractional, Semilinear, and Sparse Optimal Control: A Priori Error Bounds	4
Importance Sampling for the Empirical Measure of Weakly Interacting Diffusions	4
The Maximization of the First Eigenvalue for a Two-Phase Material	4
Global Zero-Relaxation Limit for a Two-Fluid Euler–Poisson System	4
Viscosity Solutions of a Class of Second Order Hamilton–Jacobi–Bellman Equations in the Wasserstein Space	4
Labor Supply Flexibility and Portfolio Selection with Early Retirement Option	4
A Zero-Sum Deterministic Impulse Controls Game in Infinite Horizon with a New HJBI-QVI	4
An Improvement to Prandtl’s 1933 Model for Minimizing Induced Drag	4
MF-OML: Online Mean-Field Reinforcement Learning with Occupation Measures for Large Population Games	4
Finite-Time Blowup in a Parabolic-Parabolic-Elliptic Chemotaxis Model Involving Indirect Signal Production	4
Dissipativity in Infinite Horizon Optimal Control and Dynamic Programming	4
Entire Solutions of Stochastic Unbounded Delay Evolution Variational Inequalities Driven by Tempered Fractional Noise with an Exponential Dichotomy	4
Uniform Large Deviation Principle for the Solutions of Two-Dimensional Stochastic Navier–Stokes Equations in Vorticity Form	4
Analysis of an Optimal Control Problem for the Navier–Stokes System with Tresca Boundary Conditions	4