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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.

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