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arXiv · 1501.04549

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
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Abstract

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.

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Marco Ghimenti, Dimitrios Kandilakis, Manolis Magiropoulos. 2015-01-19. Existence and stability results on a class of Non Linear Schroedinger Equations in bounded domains with Dirichlet boundary conditions. https://arxiv.org/abs/1501.04549

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