Unique continuation for the symmetric regularized long wave equation
β Scribed by Yadong Shang
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 153 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.784
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β¦ Synopsis
Abstract
The unique continuation property has been intensively studied for a long time due to the important role that plays in the applications. The validity of the unique continuation property for symmetric regularized long wave equation is showed in this paper. The result is established by using an appropriate Carlemanβtype estimate for a partial differential operators closely related to our problem. Copyright Β© 2006 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
A B-spline finite element method is used to solve the regularized long wave equation numerically. This approach involves a Galerkin method with quadratic B-spline finite elements so that there is continuity of the dependent variable and its first derivative throughout the solution range. Time integr
## Abstract We prove unique continuation of solutions of the wave equation along and across lowerβdimensional planes containing the __t__βaxis. This is a sharpening and a generalization of a result of Cheng, Ding and Yamamoto as well as a simplification of the proof. Copyright Β© 2008 John Wiley & S
## Abstract This article discusses on the solution of the regularized long wave (RLW) equation, which is introduced to describe the development of the undular bore, has been used for modeling in many branches of science and engineering. A numerical method is presented to solve the RLW equation. The