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We consider a general class of one-dimensional parabolic systems, mainly coupled in the diffusion term, which, in fact, can be of the degenerate type. We derive some new L(1)-gradient type estimates for its solutions which are uniform in the sense that they do not depend on the coefficients nor on the size of the spatial domain. We also give some applications of such estimates to gas dynamics, filtration problems, a p-Laplacian parabolic type equation and some first order systems of Hamilton-Jacobi or conservation laws type.

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Autor(es)

Díaz Díaz, Jesús Ildefonso -  Antontsev, S.N. - 

Id.: 55229002

Idioma: inglés  - 

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Palabras claveGeometría diferencial - 

Tipo de recurso: info:eu-repo/semantics/article  -  PeerReviewed  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

: info:eu-repo/semantics/restrictedAccess

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] http://eprints.ucm.es/15050/
[References] http://www.worldscinet.com/ccm/ccm.shtml
[References] http://dx.doi.org/10.1142/S0219199710003725
[References] info:eu-repo/grantAgreement/EC/FP7/238702
[References] MTM2008-06208
[References] SAB-2005-0017
[References] CCG07-UCM/ESP-2787
[References] 910480

Fecha de contribución: 18-oct-2016

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