2026-04-17T02:44:48Zhttps://recercat.cat/oai/request

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

urn:hdl:2072/379927 Regularity for entropy solutions of parabolic p-Laplacian type equations Segura de León, S. Toledo Melero, José Julián 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. 1999 Article Publicacions matemàtiques ; Vol. 43, Num. 2 (1999), p. 665-683 open access Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets. https://rightsstatements.org/vocab/InC/1.0/