JournalsaihpcVol. 13, No. 1pp. 1–15

Asymptotic behavior of solutions of a semilinear heat equation with subcritical nonlinearity

  • Tadashi Kawanago

    Department of Mathematics, Faculty of Science, Osaka University, Toyonaka 560, Japan
Asymptotic behavior of solutions of a semilinear heat equation with subcritical nonlinearity cover
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Abstract

We consider the Cauchy problem for ut = Δu + up with 1 + 2/N < p and (N − 2)p < N + 2. We give a complete description of the asymptotic behavior of the positive solution.

Résumé

Nous considérons le problème de Cauchy pour ut = Δu + up avec 1 + 2/N < p et (N − 2)p < N + 2. On donne une description complète de comportement asymptotique de la solution positive.

Cite this article

Tadashi Kawanago, Asymptotic behavior of solutions of a semilinear heat equation with subcritical nonlinearity. Ann. Inst. H. Poincaré Anal. Non Linéaire 13 (1996), no. 1, pp. 1–15

DOI 10.1016/S0294-1449(16)30095-6