Corina Karim, Masashi Misawa
We study the existence of global weak solutions for Cauchy-Dirichlet problem for evolutional p-Laplacian systems. The initial data is belonging to the Sobolev space W1,p(Ω, n). We use a varitional (like) method to treat the existence of a weak solution, this method seems somehow simply than the Galerkin method. © 2017 Author(s).
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Indonesia; Department of Mathematics, Graduate School of Science and Technology, Kumamoto University, Japan