Electron. J. Differential Equations, Vol. 2016 (2016), No. 278, pp. 1-11.

Harnack type inequality for non-negative solutions of second-order degenerate parabolic equations in divergent form

Sarvan T. Huseynov

Abstract:
We study a class of second-order degenerate parabolic equations in divergent form. We prove two analogues of the Harnack inequality, one for non-negative weak solutions, an another for non-negative solutions.

Submitted May 30, 2016. Published October 18, 2016.
Math Subject Classifications: 35K65, 35K10.
Key Words: Degenerate equations; weighted Sobolev space; weak solution; Poincare inequality; Harnack inequality.

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Sarvan T. Huseynov
Baku State University
Baku, AZ1148, Azerbaijan
email: sarvanhuseynov@rambler.ru

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