%0 Journal Article
%T Local Solutions to a Class of Parabolic System Related to the P-Laplacian
%A Qitong Ou
%A Huashui Zhan
%J Advances in Pure Mathematics
%P 868-877
%@ 2160-0384
%D 2016
%I Scientific Research Publishing
%R 10.4236/apm.2016.612065
%X In this paper, the existence and uniqueness of local solutions to the initial and boundary value problem of a class of parabolic system related to the p-Laplacian are studied. The regularization method is used to construct a sequence of approximation solutions, with the help of monotone iteration technique, then we get the existence of solution of a regularized system. By the use of a standard limiting process, the existence of the local solutions of the system is obtained. Finally, the uniqueness of the solution is also proven.
%K Existence
%K Uniqueness
%K Evolution
%K P-Laplacian
%K Parabolic System
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=72060