dc.contributor.author
Segura de León, S.
dc.contributor.author
Toledo Melero, José Julián
dc.identifier
https://ddd.uab.cat/record/1915
dc.identifier
urn:10.5565/PUBLMAT_43299_08
dc.identifier
urn:oai:ddd.uab.cat:1915
dc.identifier
urn:articleid:20144350v43n2p665
dc.identifier
urn:oai:raco.cat:article/37973
dc.description.abstract
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.
dc.format
application/pdf
dc.relation
Publicacions matemàtiques ; Vol. 43, Num. 2 (1999), p. 665-683
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.title
Regularity for entropy solutions of parabolic p-Laplacian type equations
