Existence of global weak solutions for Cauchy-Dirichlet problem for evolutional p-Laplacian systems

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Corina Karim, Masashi Misawa

2017 AIP Conference Proceedings Vol. 1913 Conference paper Cited by 4 Quartile

Abstract

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).

Affiliations

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Indonesia; Department of Mathematics, Graduate School of Science and Technology, Kumamoto University, Japan