Blow-up of global sign-changing solutions of a nonlinear heat equation

DOI10.1134/S1064562412020202zbMath1387.35385MaRDI QIDQ1760986

Pohozaev, Stanislav I.

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (1)

Nonexistence of global solutions for quasilinear backward parabolic inequalities with \(p\)-Laplace-type operator

Cites Work

• Global existence and blowup for sign-changing solutions of the nonlinear heat equation
• An equation whose Fujita critical exponent is not given by scaling
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