Absence of Global Solutions to Systems of Perturbed Parabolic Inequalities with Chipot–Weissler Nonlinearity in the Gradient Term

DOI10.1515/ANS-2008-0404zbMath1171.35405OpenAlexW2509251571MaRDI QIDQ5503504

Luisa Toscano

Publication date: 15 January 2009

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

Full work available at URL: https://doi.org/10.1515/ans-2008-0404

zbMATH Keywords

nonexistence of global solutionstest function methodsystem of parabolic inequalities

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Partial differential inequalities and systems of partial differential inequalities (35R45) Initial value problems for second-order parabolic systems (35K45)

Cites Work

• Unnamed Item
• Boundedness and blow up for a semilinear reaction-diffusion system
• Self-similar subsolutions and blowup for nonlinear parabolic equations
• Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations
• The Role of Critical Exponents in Blowup Theorems
• Blow-up Results for Parabolic Inequalities with Chipot–Weissler Nonlinearity in the Gradient Term
• On critical exponents for some quasilinear parabolic equations

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