SBV regularity for Hamilton-Jacobi equations in \(\mathbb R^n\)

DOI10.1007/s00205-010-0381-zzbMath1223.49039arXiv1002.4087OpenAlexW3124985089MaRDI QIDQ717489

Stefano Bianchini, Roger Robyr, Camillo De Lellis

Publication date: 4 October 2011

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.4087

zbMATH Keywords

Hamilton-Jacobi equationsuniformly convexregularity of viscosity solutions

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Hamilton-Jacobi equations in mechanics (70H20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (8)

Transport Rays and Applications to Hamilton–Jacobi Equations ⋮ Two-dimensional unit-length vector fields of vanishing divergence ⋮ SBV-like regularity for Hamilton-Jacobi equations with a convex Hamiltonian ⋮ SBV regularity for genuinely nonlinear, strictly hyperbolic systems of conservation laws in one space dimension ⋮ On the optimal strategy for an isotropic blocking problem ⋮ From pointwise to local regularity for solutions of Hamilton-Jacobi equations ⋮ SBV regularity of systems of conservation laws and Hamilton-Jacobi equations ⋮ On the Hamilton-Jacobi equation and infimal convolution in the framework of Sobolev-functions

Cites Work

• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• A geometrical approach to monotone functions in \(\mathbb{R}^n\)
• SBV REGULARITY OF ENTROPY SOLUTIONS FOR A CLASS OF GENUINELY NONLINEAR SCALAR BALANCE LAWS WITH NON-CONVEX FLUX FUNCTION
• A NOTE ON ADMISSIBLE SOLUTIONS OF 1D SCALAR CONSERVATION LAWS AND 2D HAMILTON–JACOBI EQUATIONS
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