The BV solution of the parabolic equation with degeneracy on the boundary-Reference-Cited by-同舟云学术

The BV solution of the parabolic equation with degeneracy on the boundary

Published:2016-01-01 Issue:1 Volume:14 Page:272-282
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Zhan Huashui¹,Chen Shuping¹

Affiliation:

1. 1School of Applied Mathematics, Xiamen University of Technology, Xiamen 361024, China, 2012111007@xmut.edu.cn

Abstract

AbstractConsider a parabolic equation which is degenerate on the boundary. By the degeneracy, to assure the well-posedness of the solutions, only a partial boundary condition is generally necessary. When 1 ≤ α < p – 1, the existence of the local BV solution is proved. By choosing some kinds of test functions, the stability of the solutions based on a partial boundary condition is established.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2016-0025/pdf

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