On the dependence of the critical exponent of the nonlinear heat equation on the initial function

DOI10.1134/S0012266111070044zbMath1227.35054WikidataQ115252266 ScholiaQ115252266MaRDI QIDQ642028

Pohozaev, Stanislav I.

Publication date: 25 October 2011

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

estimate for the blow-up time

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (3)

Lifespan of solutions to the damped wave equation with a critical nonlinearity ⋮ Triviality of totally conservative solutions of a stochastic partial differential equation with power-law nonlinearities ⋮ Blow-up results for higher-order evolution differential inequalities in exterior domains

Cites Work

• Unnamed Item
• Multidimensional nonlinear diffusion arising in population genetics
• On nonexistence of global solutions of some semilinear parabolic differential equations

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