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16 p, 312.9 KB Spectral properties of stationary solutions of the nonlinear heat equation / Cazenave, Thierry (Université Pierre et Marie Curie (Paris)) ; Dickstein, Flavio (Universidade Federal do Rio de Janeiro. Instituto de Matemática) ; Weissler, Fred B. (Université Paris 13) ; Centre national de la recherche scientifique (França). Laboratoire Jacques-Louis Lions
In this paper, we prove that if ψ is a radially symmetric, signchanging stationary solution of the nonlinear heat equation (NLH) u - ∆u = │u │ α u, in the unit ball of RN, N=3, with Dirichlet boundary conditions, then the solution of (NLH) with initial value λψ blows up infinite time if │λ - 1│ > 0 is sufficiently small and if α > 0 is sufficiently small. [...]
2011 - 10.5565/PUBLMAT_55111_09
Publicacions matemàtiques, Vol. 55, Núm. 1 (2011) , p. 185-200  

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