Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton–Jacobi equation

DOI10.3233/ASY-2010-0981zbMath1211.35042arXiv0907.0566OpenAlexW1725943573MaRDI QIDQ4930612

Guy Barles, Christian Stinner, Philippe Laurençot

Publication date: 1 October 2010

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.0566

zbMATH Keywords

homogeneous Dirichlet boundary conditions gradient source term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (7)

Classification of blowup solutions for a parabolic $p$-Laplacian equation with nonlinear gradient terms ⋮ Convergence to separate variables solutions for a degenerate parabolic equation with gradient source ⋮ Gradient blowup rate for a viscous Hamilton-Jacobi equation with degenerate diffusion ⋮ Well-posedness and gradient blow-up estimate near the boundary for a Hamilton-Jacobi equation with degenerate diffusion ⋮ Large time behavior of solutions for the porous medium equation with a nonlinear gradient source ⋮ Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with $p$-Laplacian diffusion ⋮ Global continuation beyond singularities on the boundary for a degenerate diffusive Hamilton-Jacobi equation

This page was built for publication: Convergence to steady states for radially symmetric solutions to a quasilinear degenerate diffusive Hamilton–Jacobi equation