Sistemas de inclusões diferenciais parciais semi-difusivos

Abstract

This work proves the local and global existence of solutions for semi-diffusive partial inclusion systems with m-accretive operators seen in [7]. Based on this article, we prove the local existence of solutions for semi-diffusive partial differential inclusion systems with monotonous maximal operator of the form div(|∇u| p(.)−2∇u) with external forces F and G multivalued maps, F is upper semicontinuous, the pair (F, G) is positively sublinear and G with separable variables.