In this paper we deal with the homogenization problem for the Poisson equation in a singularly perturbed domain with multilevel periodically oscillating boundary. This domain consists of the body, a large number of thin cylinders joining to the body through the thin transmission zone with rapidly os
Smoothing and Decay Properties of Solutions of the Korteweg-deVries Equation on a Periodic Domain with Point Dissipation
✍ Scribed by D.L. Russell; B.Y. Zhang
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 981 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract In this paper, we consider the non‐linear wave equation __a__,__b__>0, associated with initial and Dirichlet boundary conditions. Under suitable conditions on __α__, __m__, and __p__, we give precise decay rates for the solution. In particular, we show that for __m__=0, the decay is ex
## Abstract We consider the DIRICHLET problem for linear elliptic differential equations with smooth real coefficients in a two‐dimensional domain with an angle point. We find an asymptotic representation of the solution near this point, which is stable under small variations of the angle.