Lower bound for the perimeter density at singular points of a minimizing cluster in ℝ N
The cost of controlling strongly degenerate parabolic equations
Control of the Grushin equation: non-rectangular control region and minimal time
On the construction of nearly time optimal continuous feedback laws around switching manifolds
Optimal control of fractional semilinear PDEs
Higher integrability for the gradient of Mumford-Shah almost-minimizers
Infinitely many periodic solutions for a semilinear wave equation with x-dependent coefficients
Modeling and stabilization of current-controlled piezo-electric beams with dynamic electromagnetic field
Hardy’s uncertainty principle and unique continuation property for stochastic heat equations
Multiply-periodic hypersurfaces with constant nonlocal mean curvature
On Mean Field Games models for exhaustible commodities trade
Carleman estimates for time-discrete parabolic equations and applications to controllability
A deterministic game interpretation for fully nonlinear parabolic equations with dynamic boundary conditions
On the observability inequality of coupled wave equations: the case without boundary
The analytical solution of Newton’s aerodynamic problem in the class of bodies with vertical plane of symmetry and developable side boundary
Necessary conditions of Pontraygin’s type for general controlled stochastic Volterra integral equations
Two-scale homogenization of a stationary mean-field game
Multiplicative controllability for nonlinear degenerate parabolic equations between sign-changing states
An extension of a Lyapunov approach to the stabilization of second order coupled systems
External optimal control of fractional parabolic PDEs
Spectra of operator pencils with small 𝒫𝒯-symmetric periodic perturbation
Optimal control on graphs: existence, uniqueness, and long-term behavior
On L∞ stabilization of diagonal semilinear hyperbolic systems by saturated boundary control
On reduction of differential inclusions and Lyapunov stability
Stochastic filtering and optimal control of pure jump Markov processes with noise-free partial observation
Γ-limit of the cut functional on dense graph sequences
Regularity of the minimiser of one-dimensional interaction energies
Thresholding gradient methods in Hilbert spaces: support identification and linear convergence
Optimal bilinear control problem related to a chemo-repulsion system in 2D domains
On the continuity of the trace operator in GSBV (Ω) and GSBD (Ω)
Controllability of low Reynolds numbers swimmers of ciliate type
Improved regularity assumptions for partial outer convexification of mixed-integer PDE-constrained optimization problems
Viability analysis of the first-order mean field games
Hyperbolic Maxwell variational inequalities of the second kind
Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints
Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term
Optimal control of higher order differential inclusions with functional constraints
Alternating and variable controls for the wave equation
Eigenvalue variation under moving mixed Dirichlet–Neumann boundary conditions and applications
Calibrations for minimal networks in a covering space setting
On closed-loop equilibrium strategies for mean-field stochastic linear quadratic problems
Analysis of the controllability from the exterior of strong damping nonlocal wave equations
A non-homogeneous boundary value problem for the Kuramoto-Sivashinsky equation posed in a finite interval
Adaptive stabilization based on passive and swapping identifiers for a class of uncertain linearized Ginzburg–Landau equations
Analysis of an observer strategy for initial state reconstruction of wave-like systems in unbounded domains
Minimal time sliding mode control for evolution equations in Hilbert spaces
Metric sub-regularity in optimal control of affine problems with free end state
Second-order derivative of domain-dependent functionals along Nehari manifold trajectories
Necessary and sufficient conditions for the strong local minimality of C1 extremals on a class of non-smooth domains
Asymptotic limit of linear parabolic equations with spatio-temporal degenerated potentials
Bayesian sequential testing with expectation constraints
Influence of dimension on the convergence of level-sets in total variation regularization
Risk-averse optimal control of semilinear elliptic PDEs
Sharp estimates and homogenization of the control cost of the heat equation on large domains
Local controllability of reaction-diffusion systems around nonnegative stationary states
Solving a Bernoulli type free boundary problem with random diffusion
Multiplicity-induced-dominancy in parametric second-order delay differential equations: Analysis and application in control design
The effect of the terminal penalty in Receding Horizon Control for a class of stabilization problems
Numerical reconstruction of the first band(s) in an inverse Hill’s problem
A minimisation problem in L ∞ with PDE and unilateral constraints
Sparse and switching infinite horizon optimal controls with mixed-norm penalizations
Optimal distributed and tangential boundary control for the unsteady stochastic Stokes equations
An extragradient-type algorithm for variational inequality on Hadamard manifolds
Global minima for optimal control of the obstacle problem
On a two-phase Serrin-type problem and its numerical computation
Solutions to the Hamilton-Jacobi equation for Bolza problems with discontinuous time dependent data
Asymptotic stability of the exact boundary controllability of nodal profile for quasilinear hyperbolic systems
On the partial controllability of SDEs and the exact controllability of FBSDES
A stochastic maximum principle for switching diffusions using conditional mean-fields with applications to control problems
Chance constrained optimization of elliptic PDE systems with a smoothing convex approximation
Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth
Non null controllability of Stokes equations with memory
Stability and regularity transmission for coupled beam and wave equations through boundary weak connections
Stationary Kirchhoff equations involving critical growth and vanishing potential
Internal null controllability of the generalized Hirota-Satsuma system
Minimizers of the prescribed curvature functional in a Jordan domain with no necks
Asymptotic behavior of the W 1 / q , q -norm of mollified B V functions and applications to singular perturbation problems
Finite element analysis of the constrained Dirichlet boundary control problem governed by the diffusion problem
Local state observation for stochastic hyperbolic equations
Analysis of control problems of nonmontone semilinear elliptic equations
Stochastic maximum principle, dynamic programming principle, and their relationship for fully coupled forward-backward stochastic controlled systems
On material optimisation for nonlinearly elastic plates and shells
Stochastic Linear Quadratic Stackelberg Differential Game with Overlapping Information
Oriented distance point of view on random sets
Null-controllability of perturbed porous medium gas flow
On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result
A global maximum principle for optimal control of general mean-field forward-backward stochastic systems with jumps
Diagonalization-based parallel-in-time algorithms for parabolic PDE-constrained optimization problems
Lipschitz continuity of the eigenfunctions on optimal sets for functionals with variable coefficients
Null space gradient flows for constrained optimization with applications to shape optimization
Boundary null controllability as the limit of internal controllability: The heat case
Optimal boundary control for steady motions of a self-propelled body in a Navier-Stokes liquid
The minimal time function associated with a collection of sets
Near-optimal control problems for forward-backward regime-switching systems
Optimal control of static contact in finite strain elasticity
A Dual Method For Evaluation of Dynamic Risk in Diffusion Processes
On a question of D. Serre
Optimal control for controllable stochastic linear systems
Singular extremals in L 1 -optimal control problems: sufficient optimality conditions
Stochastic optimal control of a evolutionary p -Laplace equation with multiplicative Lévy noise
Local feedback stabilization of time-periodic evolution equations by finite dimensional controls
The continuum limit of interacting dislocations on multiple slip systems
A tumor growth model of Hele-Shaw type as a gradient flow
Optimal control of stochastic phase-field models related to tumor growth
Time-domain boundedness of noise-to-state exponentially stable systems
A simplified derivation technique of topological derivatives for quasi-linear transmission problems
Null controllability of a coupled degenerate system with the first and zero order terms by a single control
Existence of optimal shapes under a uniform ball condition for geometric functionals involving boundary value problems
Dynamic programming and feedback analysis of the two dimensional tidal dynamics system
Uniform exponential stabilisation of serially connected inhomogeneous Euler-Bernoulli beams
Sharp estimates for the first p -Laplacian eigenvalue and for the p -torsional rigidity on convex sets with holes
Asymptotic Hölder regularity for the ellipsoid process
Sharp stability for the Riesz potential
Zero-sum risk-sensitive stochastic differential games with reflecting diffusions in the orthant
Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys
Explicit decay rate for a degenerate hyperbolic-parabolic coupled system
Uniqueness of solution to systems of elliptic operators and application to asymptotic synchronization of linear dissipative systems
On the numerical solution of nonlinear eigenvalue problems for the Monge-Ampère operator
Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space
Cyclically monotone non-optimal N -marginal transport plans and Smirnov-type decompositions for N -flows
Remarks on nonlinear elastic waves with null conditions
Null controllability of the heat equation in pseudo-cylinders by an internal control
Quasistatic evolution for dislocation-free finite plasticity
Attainable profiles for conservation laws with flux function spatially discontinuous at a single point
Towards a mathematical theory of behavioral swarms
Sign-changing solutions of the nonlinear heat equation with persistent singularities
Stochastic linear quadratic optimal control problems for mean-field stochastic evolution equations