Electron. J. Diff. Equ., Vol. 2010(2010), No. 83, pp. 1-7.

Existence of weak solutions for mixed problems of parabolic systems

Pham Trieu Duong, Do Van Loi

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.

Submitted May 20, 2010. Published June 18, 2010.
Math Subject Classifications: 35K35.
Key Words: Parabolic system; generalized solution; asymptotic behavior; Garding's inequality.

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Pham Trieu Duong
Department of Mathematics, Hanoi National University of Education
Hanoi, Vietnam
email: duongptmath@hnue.edu.vn
Do Van Loi
Department of Mathematics, Hong Duc University
Thanhhoa, Vietnam
email: 37loilinh@gmail.com

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