Optimal stability results and nonlinear duality for \(L^\infty\) entropy and \(L^1\) viscosity solutions
DOI10.1016/j.matpur.2024.05.003zbMATH Open1543.35075MaRDI QIDQ6573739
Jørgen Endal, Nathaël Alibaud, Espen R. Jakobsen
Publication date: 17 July 2024
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
nonlinear dualityHamilton-Jacobi-Bellman PDE\(L^\infty\) entropy solutions\(L^1\) viscosity solutionsanisotropic degenerate parabolic PDEoptimal weighted \(L^1\) contraction estimate
Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Viscosity solutions to PDEs (35D40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems
- Mayer and optimal stopping stochastic control problems with discontinuous cost
- Degenerate parabolic equations
- Uniqueness results for nonlocal Hamilton-Jacobi equations
- Maximal solutions and universal bounds for some partial differential equations of evolution
- The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
- Discontinuous control problems for non-convex dynamics and near viability for singularly perturbed control systems
- The adjoint of a semigroup of linear operators
- Entropy solutions for nonlinear degenerate problems
- Viscosity solutions of Hamilton-Jacobi equations
- Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations
- A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws
- Estimates of the domain of dependence for scalar conservation laws
- Initial data identification in conservation laws and Hamilton-Jacobi equations
- A note on uniqueness of entropy solutions to degenerate parabolic equations in \({\mathbb{R}^N}\)
- Dislocation dynamics: Short-time existence and uniqueness of the solution
- A LEVEL SET APPROACH TO SEMICONTINUOUS VISCOSITY SOLUTIONS FOR CAUCHY PROBLEMS
- Stability of Entropy Solutions to the Cauchy Problem for a Class of Nonlinear Hyperbolic-Parabolic Equations
- A Generalized Fast Marching Method for Dislocation Dynamics
- $L^1$-error estimates for numerical approximations of Hamilton-Jacobi-Bellman equations in dimension 1
- Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations
- Fractional semi-linear parabolic equations with unbounded data
- Viscosity Solutions of Hamilton-Jacobi Equations
- On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's
- Exit Time Problems in Optimal Control and Vanishing Viscosity Method
- Scalar conservation laws and Hamilton-Jacobi equations in one-space variable
- User’s guide to viscosity solutions of second order partial differential equations
- An inequality for the trace of the product of two symmetric matrices
- On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman Equations
- Renormalized Entropy Solutions for Quasi-linear Anisotropic Degenerate Parabolic Equations
- On the decay of almost periodic solutions of anisotropic degenerate parabolic-hyperbolic equations
- Front Propagation and Phase Field Theory
- On viscosity solutions of fully nonlinear equations with measurable ingredients
- To the theory of entropy sub‐solutions of degenerate nonlinear parabolic equations
- $L^1$ Contraction for Bounded (Nonintegrable) Solutions of Degenerate Parabolic Equations
- Hyperbolic Conservation Laws in Continuum Physics
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- \(L^1\)-stability and error estimates for approximate Hamilton-Jacobi solutions
- Decay rates of convergence for Fokker-Planck equations with confining drift
This page was built for publication: Optimal stability results and nonlinear duality for \(L^\infty\) entropy and \(L^1\) viscosity solutions
