Blow-up of sign-changing solutions of a quasilinear heat equation

DOI10.1134/S0012266111030086zbMath1227.35094OpenAlexW2076699570WikidataQ115252400 ScholiaQ115252400MaRDI QIDQ641989

Pohozaev, Stanislav I.

Publication date: 25 October 2011

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

Full work available at URL: https://doi.org/10.1134/s0012266111030086

zbMATH Keywords

weighted function space

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Cites Work

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• Global existence and blowup for sign-changing solutions of the nonlinear heat equation
• Global nonexistence for abstract evolution equations with positive initial energy
• Local asymptotic stability for dissipative wave systems
• Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
• Global nonexistence theorems for quasilinear evolution equations with dissipation
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Fast blow-up mechanisms for sign-changing solutions of a semilinear parabolic equation with critical nonlinearity
• Blowup and Life Span of Solutions for a Semilinear Parabolic Equation
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations

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