{ "id": "1501.04549", "version": "v1", "published": "2015-01-19T16:46:23.000Z", "updated": "2015-01-19T16:46:23.000Z", "title": "Existence and stability results on a class of Non Linear Schroedinger Equations in bounded domains with Dirichlet boundary conditions", "authors": [ "Marco Ghimenti", "Dimitrios Kandilakis", "Manolis Magiropoulos" ], "categories": [ "math.AP" ], "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.", "revisions": [ { "version": "v1", "updated": "2015-01-19T16:46:23.000Z" } ], "analyses": { "keywords": [ "non linear schroedinger equations", "dirichlet boundary conditions", "stability results", "bounded domain", "non linear schroedinger type equations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150104549G" } } }