Existence and stability results on a class of Non Linear Schroedinger Equations in bounded domains with Dirichlet boundary conditions

Marco Ghimenti, Dimitrios Kandilakis, Manolis Magiropoulos

Published 2015-01-19Version 1

Existence of solution and stability results on a class of Non Linear Schroedinger 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.