RT Journal Article
T1 On gradient estimates and other qualitative properties of solutions of nonlinear non autonomous parabolic systems
A1 Díaz Díaz, Jesús Ildefonso
A1 Antontsev, S.N.
AB We prove several uniform L(1)-estimates on solutions of a general class of one-dimensional parabolic systems, mainly coupled in the diffusion term, which, in fact, can be of degenerate type. They are uniform in the sense that they don't depend on the coefficients, nor on the size of the spatial domain. The estimates concern the own Solution or/and its spatial gradient. This paper extends some previous results by the authors to the case of nonautonomous coefficients and possibly non homogeneous boundary conditions. Moreover, an application to the asymptotic decay of the L(1)-norm of solutions, as t -> +infinity, is also given.
PB Real Academia Ciencias Exactas Físicas Y Naturales
SN 1578-7303
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/49913
UL https://hdl.handle.net/20.500.14352/49913
LA eng
NO Ministerio de Ciencia e Innovacion, Spain
NO DGUIC of the CAM
NO UCM
DS Docta Complutense
RD 25 ene 2026