Blow-up phenomena for some nonlinear parabolic problems

DOI10.1016/j.na.2007.09.035zbMath1159.35382OpenAlexW1965329084MaRDI QIDQ955655

G. A. Philippin, Lawrence E. Payne, Philip W. Schaefer

Publication date: 20 November 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.09.035

zbMATH Keywords

differential inequality technique

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

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Cites Work

• Lower bounds for blow-up time in parabolic problems under Dirichlet conditions
• Existenz und Regularität von Lösungen semilinearer parabolischer Anfangs-Randwertprobleme
• Best constant in Sobolev inequality
• Blowup in diffusion equations: A survey
• The problem of blow-up in nonlinear parabolic equations
• Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded Fourier coefficients
• Bounds for blow-up time in nonlinear parabolic problems
• Global existence and blowup of solutions for a parabolic equation with a gradient term
• Lower bounds for blow-up time in parabolic problems under Neumann conditions
• The Role of Critical Exponents in Blowup Theorems
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• Explosive Instabilities in Mechanics

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