Blow-up of sign-changing solutions to quasilinear parabolic equations

DOI10.1134/S0081543810020185zbMath1202.35039MaRDI QIDQ605976

Pohozaev, Stanislav I.

Publication date: 15 November 2010

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

concavity inequalitynonlinear capacity method

Mathematics Subject Classification ID

Initial value problems for higher-order parabolic equations (35K30) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Related Items (1)

Classification of Global and Blow-up Sign-changing Solutions of a Semilinear Heat Equation in the Subcritical Fujita Range : Second-order Diffusion

Cites Work

• Non-existence, instability, and growth theorems for solutions of a class of abstract nonlinear equations with applications to nonlinear elasto- dynamics
• 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 \(Pu_t=-Au+ {\mathfrak F} (u)\)
• 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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