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Space localization and uniqueness of solutions of a quasilinear parabolic system arising in semiconductor theory

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Díaz Díaz, Jesús Ildefonso y Galiano, Gonzalo y Jungel, Ansgar (1997) Space localization and uniqueness of solutions of a quasilinear parabolic system arising in semiconductor theory. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 325 (3). pp. 267-272. ISSN 0764-4442

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URL Oficial: http://www.sciencedirect.com/science/article/pii/S0764444297839535


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A degenerate parabolic system consisting in two continuity equations for densities of charged particles and in the Poisson equation for an electric potential is considered. We show the finite speed of propagation, a waiting time property for the vacuum (null) sets and a property of formation of vacuum. The proofs are based on energy methods. Furthermore, some results on the uniqueness of solutions are proved by using different duality methods.


Tipo de documento:Artículo
Palabras clave:drift-diffusion model; two continuity equations; Poisson equation; formation of vacuum; energy methods
Materias:Ciencias > Matemáticas > Geometría diferencial
Código ID:15810
Depositado:03 Jul 2012 08:39
Última Modificación:06 Feb 2014 10:32

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