In this paper, by means of the method of implicit discretization in time, we obtain the existence of weak solution for a class of non-linear parabolic boundary value problem with equivalued surface.
Existence and uniqueness of bounded weak solution for non-linear parabolic boundary value problem with equivalued surface
β Scribed by Fengquan Li
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 103 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.437
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β¦ Synopsis
Abstract
In this paper, we discuss the existence and uniqueness of bounded weak solution for nonβlinear 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^β^ estimate of solution. Copyright Β© 2004 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
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