Let 0/R N (N 2) be an unbounded domain, and L m be a homogeneous linear elliptic partial differential operator with constant coefficients. In this paper we show, among other things, that rapidly decreasing L 1 -solutions to L m (in 0) approximate all L 1 -solutions to L m (in 0), provided there exis
Addendum to “elliptic partial differential equations”
✍ Scribed by Louis Nirenberg
- Publisher
- John Wiley and Sons
- Year
- 1953
- Tongue
- English
- Weight
- 50 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this article, we prove a higher order interpolation result for square -integrable functions by using generalized coiflets. Convergence of approximation by using generalized coiflets is shown. Applications to wavelet -Galerkin approximation of elliptic partial differential equations and some numer
## Abstract We present stochastic projection schemes for approximating the solution of a class of deterministic linear elliptic partial differential equations defined on random domains. The key idea is to carry out spatial discretization using a combination of finite element methods and stochastic