Article citationsMore>>

Esteban, J.R. and Vazquez, J.L. (1982) On the Equation of Turbulent Filteration in One-Dimensional Porous Media. Nonlinear Analysis, 10, 1303-1325.
http://dx.doi.org/10.1016/0362-546X(86)90068-4

has been cited by the following article:

• TITLE: Local Solutions to a Class of Parabolic System Related to the P-Laplacian

  AUTHORS: Qitong Ou, Huashui Zhan

  KEYWORDS: Existence, Uniqueness, Evolution, P-Laplacian, Parabolic System

  JOURNAL NAME: Advances in Pure Mathematics, Vol.6 No.12, November 17, 2016

  ABSTRACT: 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.