Blow-up in \(p\)-Laplacian heat equations with nonlinear boundary conditions

DOI10.1007/s00033-016-0720-5zbMath1358.35055OpenAlexW2522965226MaRDI QIDQ518983

Juntang Ding, Xu-Hui Shen

Publication date: 4 April 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-016-0720-5

zbMATH Keywords

upper boundblow-uplower bound\(p\)-Laplacian heat equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Blow-up in context of PDEs (35B44)

Related Items (12)

Global existence and blow-up results for \(p\)-Laplacian parabolic problems under nonlinear boundary conditions ⋮ Blow-up time estimate for porous-medium problems with gradient terms under Robin boundary conditions ⋮ Blow-up phenomena for \(p\)-Laplacian parabolic problems with Neumann boundary conditions ⋮ Estimates on blow-up time of a parabolic system with nonlinear boundary flux ⋮ Blow-up analysis in quasilinear reaction-diffusion problems with weighted nonlocal source ⋮ Lifespan estimates via Neumann heat kernel ⋮ Blow-up time estimates in porous medium equations with nonlinear boundary conditions ⋮ Upper and lower bounds for the blow-up time in quasilinear reaction diffusion problems ⋮ Unnamed Item ⋮ Blow-up analysis for parabolic \(p\)-Laplacian equations with a gradient source term ⋮ Blow-up phenomena for a class of nonlinear reaction-diffusion equations under nonlinear boundary conditions ⋮ Blow-up phenomena for p-Laplacian parabolic equations under nonlocal boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Blow-up phenomena in reaction-diffusion systems
• Global existence and blow-up phenomena for \(p\)-Laplacian heat equation with inhomogeneous Neumann boundary conditions
• Blow-up phenomena for a parabolic problem with a gradient nonlinearity under nonlinear boundary conditions
• Blow-up and global solutions for a class of nonlinear reaction diffusion equations under Dirichlet boundary conditions
• Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. I.
• Global existence and blow-up phenomena for nonlinear divergence form parabolic equations with inhomogeneous Neumann boundary conditions
• Lower bounds for blow-up time in parabolic problems under Dirichlet conditions
• Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. II.
• Existence and non-existence of global solutions for a semilinear heat equation
• Bounds for blow-up time in nonlinear parabolic systems
• Bounds for blow-up time in nonlinear parabolic problems
• Lower bounds for blow-up time in parabolic problems under Neumann conditions
• Bounds for blow-up time for the heat equation under nonlinear boundary conditions
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• Explosive Instabilities in Mechanics
• Blow-up in a class of non-linear parabolic problems with time-dependent coefficients under Robin type boundary conditions
• Bounds of the blowup time in parabolic equations with weighted source under nonhomogeneous Neumann boundary condition

This page was built for publication: Blow-up in \(p\)-Laplacian heat equations with nonlinear boundary conditions