Life span and a new critical exponent for a degenerate parabolic equation

DOI10.1016/J.JDE.2004.08.024zbMath1066.35047OpenAlexW2031862545MaRDI QIDQ1765197

Yuhuan Li, Chun-Lai Mu

Publication date: 23 February 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.08.024

zbMATH Keywords

Global existenceDegenerate parabolic equationBlow-upCritical exponentLife spanSelf-solutionSlowly decaying initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items (17)

A new second critical exponent and life span for a quasilinear degenerate parabolic equation with weighted nonlocal sources ⋮ Secondary critical exponent and life span for a nonlocal parabolic p-Laplace equation ⋮ Second critical exponent for a higher-order semilinear parabolic system ⋮ Fast diffusion in a porous building material with a nonlocal source ⋮ Life span of solutions for a semilinear heat equation with inhomogeneous source ⋮ Blow-up analysis for a quasilinear degenerate parabolic equation with strongly nonlinear source ⋮ Secondary critical exponent, large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values ⋮ Large time behavior of solutions for the porous medium equation with a nonlinear gradient source ⋮ The second critical exponent for a semilinear nonlocal parabolic equation ⋮ Lifespan and a new critical exponent for a nonlocal parabolic equation with slowly decay initial values ⋮ Critical exponents in a degenerate parabolic equation with weighted source ⋮ Life span and secondary critical exponent for degenerate and singular parabolic equations ⋮ Life span and a new critical exponent for a doubly degenerate parabolic equation with slow decay initial values ⋮ Global existence, large time behavior, and life span for a degenerate parabolic equation with inhomogeneous density and source ⋮ On blow-up of solution of nonhomogeneous polytropic equation with source ⋮ Life span and a new critical exponent for a quasilinear degenerate parabolic equation with slow decay initial values ⋮ Blow-up phenomena for polytropic equation with inhomogeneous density and source

Cites Work

• Unnamed Item
• Blow-up of solutions of nonlinear degenerate parabolic equations
• Existence and non-existence of global solutions for a semilinear heat equation
• The critical exponent of degenerate parabolic systems
• A degenerate diffusion problem not in divergence form
• Life span and asymptotic behavior for a semilinear parabolic system with slowly decaying initial values
• Blow-up for solutions of some degenerate parabolic equations
• Life span of solutions of the Cauchy problem for a semilinear heat equation
• Critical exponent and critical blow-up for quasilinear parabolic equations
• On a fast diffusion equation with source
• Large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Existence and nonexistence of global solutions to fast diffusions with source
• The role of critical exponents in blow-up theorems: The sequel
• A degenerate diffusion equation with a nonlinear source term
• The Role of Critical Exponents in Blowup Theorems
• Global Existence, Large Time Behavior and Life Span of Solutions of a Semilinear Parabolic Cauchy Problem
• A general approach to critical Fujita exponents in nonlinear parabolic problems
• Blow-up for quasilinear heat equations with critical Fujita's exponents
• The critical exponents of parabolic equations and blow-up inRⁿ
• A critical exponent in a degenerate parabolic equation
• On nonexistence of global solutions of some semilinear parabolic differential equations
• Similarity solutions for a quasilinear parabolic equation
• On the Cauchy problem for a degenerate parabolic equation

This page was built for publication: Life span and a new critical exponent for a degenerate parabolic equation