Electron. J. Diff. Eqns., Vol. 2008(2008), No. 31, pp. 1-15.

Parabolic boundary-value problems with equivalued surface on the domain with a thin layer

Meihua Du, Fengquan Li

Abstract:
We study the existence, uniqueness and limit behavior of solutions to parabolic boundary-value problems with equivalued surface on a domain with a thin layer.

Submitted August 29, 2007. Published March 6, 2008.
Math Subject Classifications: 35A05, 35B40, 35K20.
Key Words: Limit behavior of solutions; existence; uniqueness; equivalued surface; equivalued interface.

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Meihua Du
Department of Applied Mathematics
Dalian University of Technology, Dalian, 116024, China
email: meihua0815@126.com
  Fengquan Li
Department of Applied Mathematics
Dalian University of Technology, Dalian, 116024, China
email: fqli@dlut.edu.cn

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