A notion of renormahzed solution of the study of a general conservation law.
PATRICK URRUTY (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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PATRICK URRUTY (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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M. Bouchekif (1994)
Publicacions Matemàtiques
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In this paper, we obtain some existence theorems of nonnegative solutions with compact support for homogeneous Dirichlet elliptic problems; we also extend these results to parabolis systems. Supersolution and comparison principles are our main ingredients.
Guy Vallet (2000)
Revista Matemática Complutense
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In this paper we propose the study of a first-order non-linear hyperbolic equation in a bounded domain. We give a result of existence and uniqueness of the entropic measure-valued solution and of the entropic weak solution; for some general assumptions on the data.
Gianni Dal Maso, François Murat, Luigi Orsina, Alain Prignet (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Hamid Elouardi, François De Thélin (1989)
Publicacions Matemàtiques
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Maurizio Badii (1994)
Publicacions Matemàtiques
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We consider the following quasilinear parabolic equation of degenerate type with convection term u = φ (u) + b(u) in (-L,0) x (0,T). We solve the associate initial-boundary data problem, with nonlinear flux conditions. This problem describes the evaporation of an incompressible fluid from a homogeneous porous media. The nonlinear condition in x = 0 means that the flow of fluid leaving the porous media depends on variable meteorological conditions and in a nonlinear manner on u. In x...
Ugo Gianazza, Giuseppe Savaré (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Frederick Bloom (1977)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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