Linear differential operators with unbounded operator coefficients and semigroups of bounded operators
โ Scribed by A. G. Baskakov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1996
- Tongue
- English
- Weight
- 420 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0001-4346
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๐ SIMILAR VOLUMES
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.
## Abstract Higher even order linear differential operators with unbounded coefficients are studied. For these operators the eigenvalues of the characteristic polynomials fall into distinct classes or clusters. Consequently the spectral properties, deficiency indices and spectra, of the underlying
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