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Zbl 1100.35044
Dickstein, Flávio
Blowup stability of solutions of the nonlinear heat equation with a large life span. (English)
[J] J. Differ. Equations 223, No. 2, 303-328 (2006). ISSN 0022-0396

Sign-changing solutions of the Cauchy problem for a semilinear heat equation are studied. Sufficient conditions for blow-up are given, and results on the blow-up profile and blow-up time are established when the nonlinearity is subcritical in the Fujita or Sobolev sense.
[Marek Fila (Bratislava)]
MSC 2000:
*35K55 Nonlinear parabolic equations
35K57 Reaction-diffusion equations
35B40 Asymptotic behavior of solutions of PDE
35K15 Second order parabolic equations, initial value problems

Keywords: single point blow-up; blow-up time; sign-changing solutions

Cited in: Zbl 1229.35121

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