A Liouville theorem for vector valued semilinear heat equations with no gradient structure and applications to blow-up

DOI10.1090/S0002-9947-10-04902-0zbMath1213.35158MaRDI QIDQ3574780

Hatem Zaag, Nejla Nouaili

Publication date: 2 July 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

heat equationblow-upLiouville theorem

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (6)

Asymptotic behaviors of solutions to a reaction-diffusion equation with isochronous nonlinearity ⋮ Blow-up profile for the complex Ginzburg-Landau equation ⋮ Construction of a blow-up solution for the complex Ginzburg-Landau equation in a critical case ⋮ On the blow-up results for a class of strongly perturbed semilinear heat equations ⋮ A simplified proof of a Liouville theorem for nonnegative solution of a subcritical semilinear heat equations ⋮ Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity

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