2026-07-30T08:00:43Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/421502023-08-27T09:36:55Zcom_20.500.14352_14col_20.500.14352_15
New l(1)-gradient type estimates of solutions to one-dimensional quasilinear parabolic systems
Díaz Díaz, Jesús Ildefonso
Antontsev, S.N.
517.91
514.752.432
laminar hot gas
renormalized solutions
elliptic-equations
colder atmosphere
discharge
existence
space
L(1)-gradient estimates
quasilinear parabolic systems
first order hyperbolic systems
Geometría diferencial
Ecuaciones diferenciales
1204.04 Geometría Diferencial
1202.07 Ecuaciones en Diferencias
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.
Unión Europea. FP7
Ministerio de Ciencia e Innovacion, Spain
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
DGUIC of the CAM
UCM
Depto. de Análisis Matemático y Matemática Aplicada
Fac. de Ciencias Matemáticas
TRUE
pub
2023-06-20T00:11:07Z
2023-06-20T00:11:07Z
2010
journal article
https://hdl.handle.net/20.500.14352/42150
0219-1997
10.1142/S0219199710003725
eng
FIRST (238702)
MTM2008-06208
SAB-2005-0017
CCG07-UCM/ESP-2787
910480
restricted access
application/pdf
World Scientific Publ. Co. Pte. Ltd.