Existence and Blow-up Results for Fast Diffusion Equations with Nonlinear Sources

DOI10.1515/ans-2010-0107zbMath1213.35132OpenAlexW2507494754MaRDI QIDQ3582541

Maria Michaela Porzio, Daniela Giachetti

Publication date: 2 September 2010

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2010-0107

zbMATH Keywords

blow-upnonlinear parabolic equationsexistence of weak solutionsfast diffusion

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44)

Cites Work

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• Nonlinear elliptic and parabolic equations involving measure data
• General logarithmic Sobolev inequalities and Orlicz imbeddings
• Asymptotic stability and non-existence of global solution for a semi- linear parabolic equation
• Continuation of blowup solutions of nonlinear heat equations in several space dimensions