Global existence for the nonlinear heat equation in the Fujita subcritical case with initial value having zero mean value

DOI10.1016/j.jmaa.2011.11.082zbMath1255.35056OpenAlexW2083854833MaRDI QIDQ663730

Tej-Eddine Ghoul

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.11.082

zbMATH Keywords

invariant manifoldsign-changing solutionsFujita equation

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (1)

The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values

Cites Work

• Unnamed Item
• An extension of Dickstein's ``small lambda theorem for finite time blowup
• Global existence and blowup for sign-changing solutions of the nonlinear heat equation
• Remarks on the large time behaviour of a nonlinear diffusion equation
• Semilinear evolution equations in Banach spaces
• Structural stability for time-periodic one-dimensional parabolic equations
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Blowup stability of solutions of the nonlinear heat equation with a large life span
• Variational problems related to self-similar solutions of the heat equation

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