Blow-up solutions and global existence for a kind of quasilinear reaction-diffusion equations

DOI10.4171/ZAA/1509zbMath1302.35080OpenAlexW2060970095MaRDI QIDQ399434

Lixiang Li, Na Zhang, Ling-Ling Zhang

Publication date: 19 August 2014

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1509

zbMATH Keywords

global solutionblow-up solutionblow-up ratereaction-diffusion equationblow-up time

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) Blow-up in context of PDEs (35B44) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Quasilinear parabolic equations (35K59)

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Cites Work

• Blow-up and global existence for nonlinear parabolic equations with Neumann boundary conditions
• The role of critical exponents in blow-up theorems: The sequel
• Boundedness and blowup for nonlinear degenerate parabolic equations
• Global existence and blowup of solutions for a parabolic equation with a gradient term
• On a Nonlinear Parabolic Problem Arising in Some Models Related to Turbulent Flows
• Some Blowup Results for a Nonlinear Parabolic Equation with a Gradient Term

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