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Articles, 2 records found

Articles	2 records found

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 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_55111_09
Publicacions matemàtiques, Vol. 55, Núm. 1 (2011) , p. 185-200

26 p, 218.1 KB

Riesz transforms on generalized Heisenberg groups and Riesz transforms associated to the CCR heat flow / Lust-Piquard, Françoise
Let 1 &amp;lt; q &amp;lt; [infinity]. We prove that the Riesz transforms Rk = XkL-1/2 on a generalized Heisenberg group G satisfy [fòrmula matemàtica] where K, J are respectively the dimensions of the first and second layer of the Lie algebra of G. [...]
2004 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_48204_02
Publicacions matemàtiques, V. 48 N. 2 (2004) , p. 309-333

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