Global solvability for quasilinear parabolic equation with inhomogeneous density and a source

DOI10.1080/00036811.2012.708408zbMath1275.35125OpenAlexW1999476399WikidataQ58161117 ScholiaQ58161117MaRDI QIDQ2846765

A. V. Martynenko

Publication date: 3 September 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2012.708408

zbMATH Keywords

small initial dataFujita critical exponent

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59)

Related Items (1)

Blow-up of solutions to a fourth-order parabolic equation with/without \(p\)-Laplacian and general nonlinearity modeling epitaxial growth

Cites Work

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• Intermediate asymptotics for inhomogeneous nonlinear heat conduction
• The conditions for there to be no global solutions of a class of quasilinear parabolic equations
• The Role of Critical Exponents in Blowup Theorems
• Propagation of thermal waves in an inhomogeneous medium
• Non-linear diffusion in a finite mass medium
• A general approach to critical Fujita exponents in nonlinear parabolic problems
• The critical exponents of parabolic equations and blow-up inRⁿ
• Cauchy problem for a quasilinear parabolic equation with a source term and an inhomogeneous density
• The interface blow-up phenomenon and local estimates for doubly degenerate parabolic equations
• Critical Fujita exponents of degenerate and singular parabolic equations
• The critical exponent of doubly singular parabolic equations
• Critical exponents of quasilinear parabolic equations

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