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Existence and uniqueness of bounded weak solution for non-linear parabolic boundary value problem with equivalued surface

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Indexed by:期刊论文

Date of Publication:2004-07-10

Journal:MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Included Journals:Scopus、SCIE、EI

Volume:27

Issue:10

Page Number:1115-1124

ISSN No.:0170-4214

Key Words:non-linear parabolic equation; equivalued surface; bounded weak solution; existence and uniqueness

Abstract:In this paper, we discuss the existence and uniqueness of bounded weak solution for non-linear parabolic boundary value problem with equivalued surface and correct the mistake in Zhang Xu (Math. Meth. Appl. Sci. 1999; 22:259). The approach is based on L-infinity estimate of solution. Copyright (C) 2004 John Wiley Sons, Ltd.

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