Annales Academię Scientiarum Fennicę
Mathematica
Volumen 37, 2012, 175-189

RENORMALIZED SOLUTIONS FOR A NON-UNIFORMLY PARABOLIC EQUATION

Chao Zhang and Shulin Zhou

Harbin Institute of Technology, Department of Mathematics
Harbin 150001, P.R. China; czhangmath 'at' hit.edu.cn

Peking University, LMAM, School of Mathematical Sciences
Beijing 100871, P.R. China; szhou 'at' math.pku.edu.cn

Abstract. In this paper we prove the existence of nonnegative renormalized solutions for the initial-boundary value problem of a non-uniformly parabolic equation. Some well-known parabolic equations are the special cases of this equation.

2010 Mathematics Subject Classification: Primary 35D05; Secondary 35D10.

Key words: Renormalized solutions, existence, parabolic.

Reference to this article: C. Zhang and S. Zhou: Renormalized solutions for a non-uniformly parabolic equation. Ann. Acad. Sci. Fenn. Math. 37 (2012), 175-189.

Full document as PDF file

doi:10.5186/aasfm.2012.3709

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