Life span and a new critical exponent for a doubly degenerate parabolic equation with slow decay initial values
From MaRDI portal
Publication:719545
DOI10.1016/j.jmaa.2010.12.042zbMath1227.35053OpenAlexW1981334946MaRDI QIDQ719545
Shouming Zhou, Rong Zeng, Chun-Lai Mu
Publication date: 10 October 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.12.042
Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)
Related Items
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 ⋮ Fujita-type theorems for a quasilinear parabolic differential inequality with weighted nonlocal source term ⋮ Blow-up analysis for a quasilinear degenerate parabolic equation with strongly nonlinear source ⋮ New critical exponents for a doubly singular parabolic equation ⋮ Lifespan and a new critical exponent for a nonlocal parabolic equation with slowly decay initial values ⋮ Cauchy problem for the non-Newtonian polytropic filtration equation with a localized reaction ⋮ The second critical exponent for a nonlocal porous medium equation in \(\mathbb{R}^N\)
Cites Work
- Life span of solutions with large initial data for a superlinear heat equation
- Life span and a new critical exponent for a quasilinear degenerate parabolic equation with slow decay initial values
- Existence and non-existence of global solutions for a semilinear heat equation
- Uniqueness of very singular self-similar solution of a quasilinear degenerate parabolic equation with absorption
- The critical exponent of degenerate parabolic systems
- Life span and asymptotic behavior for a semilinear parabolic system with slowly decaying initial values
- Life span of solutions of the Cauchy problem for a semilinear heat equation
- On a fast diffusion equation with source
- Life span and a new critical exponent for a degenerate parabolic equation
- Cauchy problem and initial traces for a doubly nonlinear degenerate parabolic equation
- Large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values
- The role of critical exponents in blow-up theorems: The sequel
- On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation
- Hölder estimates for nonlinear degenerate parabolic sytems.
- 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
- Long Time Behavior of Solutions to P-Laplacian Equation with Absorption
- Fujita type theorems for quasilinear parabolic equations with initial data slowly decaying to zero
- On nonexistence of global solutions of some semilinear parabolic differential equations
