In this paper we give, for the first time, an abstract interpretation of such initial boundary value problems for parabolic equations that a part of boundary value conditions contains also a differentiation on the time t. Initial boundary value problems for parabolic equations are reduced to the Cau
Initial boundary value problem for a system of generalized IMBq equations
✍ Scribed by Guowang Chen; Hongwei Zhang
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 157 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.444
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✦ Synopsis
Abstract
The existence and uniqueness of the global generalized solution and the global classical solution to the initial boundary value problem for a system of generalized IMBq equations
are proved. This paper also arrives at some sufficient conditions of blow up of the solution in finite time. Copyright © 2004 John Wiley & Sons, Ltd.
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