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Título:
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On a nonlinear Schrodinger equation with a localizing effect
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Autores:
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Díaz Díaz, Jesús Ildefonso ;
Begout, Pascal
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 2006-04-01
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis matemático
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Materia = Ciencias: Matemáticas: Geometría diferencial
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Tipo = Artículo
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Resumen:
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We consider the nonlinear Schrodinger equation associated to a singular potential of the form a vertical bar u vertical bar(-(1-m))u + bu, for some In is an element of (0, 1), on a possible unbounded domain. We use some suitable energy methods to prove that if Re(a) + Im(a) > 0 and if the initial and right hand side data have compact support then any possible solution must also have a compact support for any t > 0. This property contrasts with the behavior of solutions associated to regular potentials (m >= 1). Related results are proved also for the associated stationary problem and for self-similar Solution on the whole space and potential a vertical bar u vertical bar(-(1-m)u). The existence of solutions is obtained by some compactness methods under additional conditions.
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En línea:
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https://eprints.ucm.es/id/eprint/15411/1/46.pdf
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