Life span and a new critical exponent for a quasilinear degenerate parabolic equation with slow decay initial values

DOI10.1016/J.NONRWA.2008.10.048zbMath1182.35028OpenAlexW2024227394MaRDI QIDQ1049430

Ying Wang, Yuhuan Li, Chun-Lai Mu

Publication date: 12 January 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.10.048

zbMATH Keywords

slowly decay initial data

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92)

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Cites Work

• Unnamed Item
• The asymptotic behaviour of solutions of a quasilinear degenerate parabolic equation
• Continuity of the gradient for weak solutions of a degenerate parabolic equation
• 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
• Source-type solutions of a quasilinear degenerate parabolic equation with absorption
• 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
• Life span and a new critical exponent for a degenerate parabolic equation
• 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
• On the Cauchy problem and initial traces for the evolution \(p\)-Laplacian equations with strongly nonlinear sources
• Critical exponents of degenerate parabolic equations
• The role of critical exponents in blow-up theorems: The sequel
• On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation
• A degenerate diffusion equation with a nonlinear source term
• 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
• The global existence and nonuniqueness of a nonlinear degenerate equation
• 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

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