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NLS-LIKE EQUATIONS IN BOUNDED DOMAINS: PARABOLIC APPROXIMATION PROCEDURE

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Author(s):
Carvalho, Alexandre N. ; Cholewa, Jan W.
Total Authors: 2
Document type: Journal article
Source: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. 23, n. 1, p. 21-pg., 2018-01-01.
Abstract

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)

FAPESP's process: 03/10042-0 - Nonlinear dynamical systems and applications
Grantee:Alexandre Nolasco de Carvalho
Support Opportunities: PRONEX Research - Thematic Grants