2026-04-17T17:02:25Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/3799272026-04-03T21:40:58Zcom_2072_98col_2072_378192

00925njm 22002777a 4500 dc Segura de León, S. author Toledo Melero, José Julián author 1999 In this note we give some summability results for entropy solutions of the nonlinear parabolic equation ut - div ap(x, [del] u)= f in ]0,T[x [omega] with initial datum in L 1 ([omega]) and assuming Dirichlet's boundary condition, where ap(., .) is a Carathéodory function satisfying the classical Leray-Lions hypotheses, f [member] L 1 (]0,T[x [omega]) and [omega] is a domain in R N. We find spaces of type L r (0,T ; M q ([omega])) containing the entropy solution and its gradient. We also include some summability results when f = 0 and the p-Laplacian equation is considered. Regularity for entropy solutions of parabolic p-Laplacian type equations