In this paper we give summability results for the gradients of solutions of nonlinear parabolic equations whose model is u'-div(del u (p-2)del u)=mu on Omega x (0, T), (P) with homogeneous Cauchy-Dirichlet boundary conditions, where p > 1 and mu is a bounded measure on Omega x (0, T). We also study how the summability of the gradient improves if the measure mu is a function in L-m(Omega x (0, T), with m ''small.'' Moreover we give a new proof of the existence of a solution for problem (P). (C) 1997 Academic Press.
Nonlinear parabolic equations with measure data / Boccardo, Lucio; Dall'Aglio, Andrea; Thierry, Gallouet; Orsina, Luigi. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 147:1(1997), pp. 237-258. [10.1006/jfan.1996.3040]
Nonlinear parabolic equations with measure data
BOCCARDO, Lucio;DALL'AGLIO, Andrea;ORSINA, Luigi
1997
Abstract
In this paper we give summability results for the gradients of solutions of nonlinear parabolic equations whose model is u'-div(del u (p-2)del u)=mu on Omega x (0, T), (P) with homogeneous Cauchy-Dirichlet boundary conditions, where p > 1 and mu is a bounded measure on Omega x (0, T). We also study how the summability of the gradient improves if the measure mu is a function in L-m(Omega x (0, T), with m ''small.'' Moreover we give a new proof of the existence of a solution for problem (P). (C) 1997 Academic Press.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
