Infinite Fujita exponents for nonlinear diffusion equations with localized sources

DOI10.1016/j.nonrwa.2009.06.006zbMath1192.35019OpenAlexW2022350363MaRDI QIDQ974636

Linghua Kong, Jinhuan Wang, Sining Zheng

Publication date: 3 June 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.06.006

zbMATH Keywords

blow-upnonlinear diffusionlocalized sourcenonnegative initial dataFujita exponents

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order parabolic systems (35K45) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

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• Blow-up behavior for a nonlinear heat equation with a localized source in a ball
• The Role of Critical Exponents in Blowup Theorems
• On nonexistence of global solutions of some semilinear parabolic differential equations

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