The Existence of Global Weak Solutions for Singular Parabolic System of p-Laplacian Type

P R Akbar,Corina Karim, R Bagus E W

Journal of Physics: Conference Series（2020）

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摘要

Abstract We study the existence of global weak solutions for Cauchy-Dirichlet problem for p-Laplacian systems in the singular case. Here, we treat the existence of global weak solutions using Galerkin method where the initial data belonging to the Sobolev space W 1, p (Ω, ℝ m ). The main result is to show the validity of theorem of global weak solutions for Cauchy-Dirichlet problem for singular case only.

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