Initial-Boundary Value Problem for the Camassa–Holm Equation with Linearizable Boundary Condition
✍ Scribed by Anne Boutet de Monvel; Dmitry Shepelsky
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 269 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0377-9017
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Using a Miura-Gardner-Kruskal type construction, we show that the Camassa-Holm equation has an infinite number of local conserved quantities. We explore the implications of these conserved quantities for global well-posedness.
## Abstract We study the stability properties of the one‐dimensional Schrödinger equation with boundary conditions that involve the derivative in the direction of propagation (or time). We show that this type of boundary condition might cause a strong growth of the amplitude of the solution. Such a
In this paper, we deal with a class of pseudoparabolic problems with integral boundary conditions. We will first establish an a priori estimate. Then, we prove the existence, uniqueness and continuous dependence of the solution upon the data. Finally, some extensions of the problem are given.