Uniqueness of solutions to the Cauchy problem for \(u_ t-u\Delta u+\gamma|\nabla u|^ 2=0\)

zbMath0806.35063MaRDI QIDQ1308530

Isamu Fukuda, Hitoshi Ishii, Masayoshi Tsutsumi

Publication date: 13 February 1995

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

weak solutionsviscosity solutionssemi-superharmonic functions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items

Nonuniqueness of solutions for a singular diffusion problem ⋮ Behaviors of solutions for a singular diffusion equation ⋮ An approximation scheme for the anisotropic and nonlocal mean curvature flow ⋮ Regional blow-up for nonlinear degenerate parabolic equations ⋮ Some results on a class of degenerate parabolic equations not in divergence form ⋮ A solution to the Monge transport problem for Brownian martingales