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NLS-LIKE EQUATIONS IN BOUNDED DOMAINS: PARABOLIC APPROXIMATION PROCEDURE

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Autor(es):
Carvalho, Alexandre N. ; Cholewa, Jan W.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. 23, n. 1, p. 21-pg., 2018-01-01.
Resumo

The article is devoted to semilinear Schrodinger equations in bounded domains. A unified semigroup approach is applied following a concept of Trotter-Kato approximations. Critical exponents are exhibited and global solutions are constructed for nonlinearities satisfying even a certain critical growth condition in H-0(1) (Omega). (AU)

Processo FAPESP: 03/10042-0 - Sistemas dinâmicos não lineares e aplicações
Beneficiário:Alexandre Nolasco de Carvalho
Modalidade de apoio: Auxílio à Pesquisa - Programa PRONEX - Temático