Dirichlet problem for the operator of the theory of elasticity
β Scribed by E. V. Bulavenko
- Book ID
- 112470953
- Publisher
- Springer
- Year
- 1988
- Tongue
- English
- Weight
- 159 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0041-5995
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we study the uniqueness problem for the classical Dirichlet form on a weighted real L 2 -space when the underlying space is finite dimensional. The associated operator H, called the Dirichlet operator, when restricted to the domain of smooth functions, takes the form &2&; } { where ; i
The linearized equations governing the deformations of incompressible elastic bodies are discussed. The Dirichlet problem is formulated for this system of equations using the theory of elliptic systems due to Douglis and Nirenberg. A uniqueness theorem is proved. Necessary and sufficient conditions