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

✍ Scribed by Fengquan Li


Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
103 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis


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^∞^ estimate of solution. Copyright Β© 2004 John Wiley & Sons, Ltd.


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A question of the existence of fiolutions of boundary-value problems for differential equations with parameter was considered by many authors, see [1]-[3] and [5]-[9]. The analogous problems for differential equations with a deviated argument was discussed in [8] and [3]. The purpose of this paper