Global Existence and Uniqueness of Solutions to Evolution <em>p</em>-Laplacian Systems with Nonlinear Sources
Year: 2013
Author: Yingjie Wei, Wenjie Gao
Journal of Partial Differential Equations, Vol. 26 (2013), Iss. 1 : pp. 1–13
Abstract
This paper presents the global existence and uniqueness of the initial and boundary value problem to a system of evolution p-Laplacian equations coupled with general nonlinear terms. The authors use skills of inequality estimation and themethod of regularization to construct a sequence of approximation solutions, hence obtain the global existence of solutions to a regularized system. Then the global existence of solutions to the system of evolution p-Laplacian equations is obtained with the application of a standard limiting process. The uniqueness of the solution is proven when the nonlinear terms are local Lipschitz continuous.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v26.n1.1
Journal of Partial Differential Equations, Vol. 26 (2013), Iss. 1 : pp. 1–13
Published online: 2013-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Global existence