Existence and uniqueness of solutions for a degenerate quasilinear parabolic problem.

Título inglés	Existence and uniqueness of solutions for a degenerate quasilinear parabolic problem.
Título español	Existencia y unicidad de soluciones para un problema parabólico casi lineal degenerado.
Autor/es	Badii, Maurizio
Organización	Dip. Mat. "G. Castelnuovo" Univ. Roma "La Sapienza", Roma, Italia
Revista	0214-1493
Publicación	1994, 38 (2): 327-352, 13 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	We consider the following quasilinear parabolic equation of degenerate type with convection term ut = φ (u)xx + b(u)x 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 = -L we have an imprevious boundary. For a sufficiently smooth initial data, one proves the existence and uniqueness of the global strong solution in the class of bounded variation functions.
Clasificación UNESCO	120220
Palabras clave español	Ecuaciones parabólicas ; Ecuaciones diferenciales en derivadas parciales ; Ecuaciones diferenciales no lineales ; Problema de Cauchy
Código MathReviews	MR1316631
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