Explosive solution of the nonlinear equation of a parabolic type

DOI10.1016/j.aml.2011.04.016zbMath1221.35218OpenAlexW1999909683MaRDI QIDQ550464

Yong-Cai Geng, Sumit K. Garg

Publication date: 11 July 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.04.016

zbMATH Keywords

existencesolutionblow-upnonlinearmixed problemsmall initial dataparabolic

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (2)

On behavior of solution of degenerated hyperbolic equation ⋮ On the behaviour of solutions of degenerated nonlinear parabolic equations

Cites Work

• Geometrical properties of the solutions of one-dimensional nonlinear parabolic equations
• The role of critical exponents in blow-up theorems: The sequel
• Existence and nonexistence of global solutions for nonlinear parabolic equations
• On quasilinear boundary value problems in domains with corners
• Elliptic Partial Differential Equations of Second Order
• Stability and spectra of blow–up in problems with quasi–linear gradient diffusivity
• A general approach to critical Fujita exponents in nonlinear parabolic problems
• On nonexistence of global solutions of some semilinear parabolic differential equations
• On the growth of solutions of quasi‐linear parabolic equations
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