The blow-up phenomenon for degenerate parabolic equations with variable coefficients and nonlinear source

DOI10.1016/j.na.2010.06.026zbMath1195.35068OpenAlexW2003867284MaRDI QIDQ988881

A. V. Martynenko, Paolo Cianci, Anatolii F. Tedeev

Publication date: 19 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.026

zbMATH Keywords

existence and nonexistence theorems

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Related Items (9)

LOCALIZATION OF SOLUTIONS TO A DOUBLY DEGENERATE PARABOLIC EQUATION WITH A STRONGLY NONLINEAR SOURCE ⋮ On the behavior of solutions of the Cauchy problem for a degenerate parabolic equation with source in the case where the initial function slowly vanishes ⋮ Cauchy problem for nonlinear parabolic equations with a gradient term ⋮ Local and global existence for quasilinear parabolic systems with a strongly nonlinear source ⋮ Blow-up analysis for a quasilinear degenerate parabolic equation with strongly nonlinear source ⋮ Fujita-type theorems for doubly degenerate parabolic equations with a time-weighted source ⋮ Doubly degenerate parabolic equation with time-dependent gradient source and initial data measures ⋮ Global solvability for quasilinear parabolic equation with inhomogeneous density and a source ⋮ Disappearance and global existence of interfaces for a doubly degenerate parabolic equation with variable coefficient

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