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oai:docta.ucm.es:20.500.14352/421502023-08-27T09:36:55Zcom_20.500.14352_14col_20.500.14352_15

Díaz Díaz, Jesús Ildefonso Antontsev, S.N. 2023-06-20T00:11:07Z 2023-06-20T00:11:07Z 2010 0219-1997 10.1142/S0219199710003725 https://hdl.handle.net/20.500.14352/42150 http://www.worldscinet.com/ccm/ccm.shtml http://www.worldscinet.com/ 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. eng restricted access New l(1)-gradient type estimates of solutions to one-dimensional quasilinear parabolic systems journal article