RT Journal Article
T1 New l(1)-gradient type estimates of solutions to one-dimensional quasilinear parabolic systems
A1 Díaz Díaz, Jesús Ildefonso
A1 Antontsev, S.N.
AB 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.
PB World Scientific Publ. Co. Pte. Ltd.
SN 0219-1997
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42150
UL https://hdl.handle.net/20.500.14352/42150
LA eng
NO Unión Europea. FP7
NO Ministerio de Ciencia e Innovacion, Spain
NO Sabbatical Professor at the Departamento de Matematica Aplicada of the Universidad Complutense de Madrid; Secretaria de Estado de Universidades e Investigacion of Spain[SAB-2005-0017]; Ministerio de Ciencia e Innovacion, Spain[MTM2008-06208]; DGUIC of the
NO DGUIC of the CAM
NO UCM
DS Docta Complutense
RD 10 abr 2025