Existence of weak solutions for mixed problems of parabolic systems

Authors: Phạm Triều Dương, Do Van Loi,

https://ejde.math.txstate.edu/Volumes/2010/83/duong.pdf

Publisher, magazine: ,

Publication year: 2010

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Abstract

The purpose of this paper is to investigate the existence of generalized solutions for strongly parabolic systems in a cylindrical domain. The decay of the solution at infinity, depending on the right-hand of the equation, is also studied in this article.

Tags: Garding’s inequality; cylindrical domain