Existence of solution, and L2 and H1 localization results on a class of nonlinear Schrödinger type equations with a bounded nonlinearity are obtained, for a bounded domain and with Dirichlet boundary conditions. The kind of stability under discussion shows that the corresponding solution exhibits features of a solitary wave type.

Existence and stability results on a class of nonlinear Schrödinger equations in bounded domains with Dirichlet boundary conditions

GHIMENTI, MARCO GIPO
;
2015

Abstract

Existence of solution, and L2 and H1 localization results on a class of nonlinear Schrödinger type equations with a bounded nonlinearity are obtained, for a bounded domain and with Dirichlet boundary conditions. The kind of stability under discussion shows that the corresponding solution exhibits features of a solitary wave type.
Ghimenti, MARCO GIPO; Kandilakis, Dimitrios; Magiropoulos, Manolis
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/758964
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