Critical exponents for the heat-conduction equation with nonlocal, nonlinear perturbations

DOI10.1007/S10958-005-0300-2zbMath1090.35030OpenAlexW1987569184MaRDI QIDQ812298

G. I. Laptev

Publication date: 23 January 2006

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0300-2

zbMATH Keywords

critical exponentnonnegative solutionsexistence and nonexistence theorems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15)

Cites Work

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• Blowup in diffusion equations: A survey
• Conditions for nonexistence of global solutions of the Cauchy problem for a parabolic equation with an integral nonlinear perturbation
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• The role of critical exponents in blow-up theorems: The sequel
• A general approach to critical Fujita exponents in nonlinear parabolic problems

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