Doubly degenerate parabolic equations with variable nonlinearity. II: Blow-up and extinction in a finite time

DOI10.1016/j.na.2013.09.027zbMath1286.35138OpenAlexW2074637325WikidataQ59227333 ScholiaQ59227333MaRDI QIDQ2637039

Yanyan Li

Publication date: 18 February 2014

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

Full work available at URL: http://hdl.handle.net/10651/25375

zbMATH Keywords

decay ratesextinctionhomogeneous Dirichlet problemnonstandard growth conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Blow-up in context of PDEs (35B44) Singular parabolic equations (35K67)

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Cites Work

• Localization of solutions of anisotropic parabolic equations
• Existence, uniqueness and behavior of solutions for a class of nonlinear parabolic problems
• Lebesgue and Sobolev spaces with variable exponents
• On the blow-up of solutions to anisotropic parabolic equations with variable nonlinearity
• Blow-up for doubly degenerate nonlinear parabolic equations
• Blow-up of solutions to parabolic equations with nonstandard growth conditions
• Vanishing solutions of anisotropic parabolic equations with variable nonlinearity
• The problem of blow-up in nonlinear parabolic equations
• Existence and nonexistence results for anisotropic quasilinear elliptic equations
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Doubly degenerate parabolic equations with variable nonlinearity. I: Existence of bounded strong solutions
• Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions
• Teoremi di inclusione per spazi di Sobolev non isotropi
• Existence and nonexistence of global solutions for nonlinear parabolic equations
• Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
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