Hölder Regularity for Viscosity Solutions of Fully Nonlinear, Local or Nonlocal, Hamilton–Jacobi Equations with Superquadratic Growth in the Gradient

DOI10.1137/100784400zbMath1218.49044arXiv1001.5191OpenAlexW2018800978MaRDI QIDQ3021262

Catherine Rainer, Pierre Cardaliaguet

Publication date: 22 July 2011

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.5191

zbMATH Keywords

Hölder continuity viscosity solutions degenerate parabolic equations reverse Hölder inequalities integro-differential Hamilton-Jacobi equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Optimal stochastic control (93E20) Regularity of solutions in optimal control (49N60) Inequalities for sums, series and integrals (26D15) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (7)

Weak Solutions for First Order Mean Field Games with Local Coupling ⋮ Sobolev regularity for the first order Hamilton-Jacobi equation ⋮ Optimal estimates on the propagation of reactions with fractional diffusion ⋮ Regularity results and large time behavior for integro-differential equations with coercive Hamiltonians ⋮ Hölder Continuity to Hamilton-Jacobi Equations with Superquadratic Growth in the Gradient and Unbounded Right-hand Side ⋮ Transport equations with nonlocal diffusion and applications to Hamilton-Jacobi equations ⋮ Local and global regularity of weak solutions of elliptic equations with superquadratic Hamiltonian

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