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Título:
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On a quasilinear degenerate system arising in semiconductor theory. Part II: Localization of vacuum solutions
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Autores:
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Díaz Díaz, Jesús Ildefonso ;
Galiano, Gonzalo ;
Jungel, Ansgar
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Tipo de documento:
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texto impreso
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Editorial:
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Pergamon Elsevier Science Ltd, 1999-06-01
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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: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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The temporal and spatial localization of vacuum sets of the solutions to the drift-diffusion equations for semiconductors is studied in this paper. It is shown that if there are vacuum sets initially then there are vacuum sets for a small time, which shows the finite propagation speed of the support of the densities. It is also shown that for a certain recombination-generation rate there is no dilation of the initial support, and under some condition on the recombination-generation rate the vacuum will develop after a certain time even if there is no vacuum initially. These results are proved based on a local energy method for free boundary problems.
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En línea:
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https://eprints.ucm.es/id/eprint/15645/1/77.pdf
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