The existence of global solution and the blow up problem for some \( p\)-Laplace heat equations

DOI10.1016/S0252-9602(07)60026-5zbMath1125.35047OpenAlexW1984644794MaRDI QIDQ2463970

Yang Wang

Publication date: 7 December 2007

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(07)60026-5

zbMATH Keywords

blow upHardy-Sobolev inequalitydecay of exponent

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (11)

Qualitative study in a parabolic equation with nonstandard growth conditions and singular medium void ⋮ Global existence and blow-up to the solutions of a singular porous medium equation with critical initial energy ⋮ Global existence and blow-up of solutions to a singular non-Newton polytropic filtration equation with critical and supercritical initial energy ⋮ Blow-up phenomena for \(p\)-Laplacian parabolic problems with Neumann boundary conditions ⋮ Global existence, extinction, and non-extinction of solutions to a fast diffusion \(p\)-Laplace evolution equation with singular potential ⋮ Local existence and uniqueness of weak solutions to fractional pseudo-parabolic equation with singular potential ⋮ Global existence and extinction of solutions to a fast diffusion \(p\)-Laplace equation with special medium void ⋮ A new blow-up condition for a parabolic equation with singular potential ⋮ Global existence and blow-up of solutions to a nonlocal parabolic equation with singular potential ⋮ Global existence and blow-up of solutions for a non-Newton polytropic filtration system with special volumetric moisture content ⋮ Global existence and blow-up of solutions to a semilinear heat equation with singular potential and logarithmic nonlinearity

This page was built for publication: The existence of global solution and the blow up problem for some \( p\)-Laplace heat equations