Nonlinear elliptic systems with certain unbounded coefficients
โ Scribed by P. D. Smith; E. W. Stredulinsky
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 560 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0010-3640
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๐ SIMILAR VOLUMES
In this paper we study an elliptic linear operator in weighted Sobolev spaces and show existence and uniqueness theorems for the Dirichlet problem when the coefficients are given in suitable spaces of Morrey type, improving the previous results known in the literature.
By using techniques derived from the theory of stochastic differential equations, we prove that a class of second order degenerate elliptic operators having unbounded coefficients generates analytic semigroups in C b (R d ), the space of uniformly continuous and bounded functions from R d into R.