Analyticity of semigroup generated by a class of differential operators with interface
โ Scribed by T.Gnana Bhaskar; Rajiv Kumar
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 103 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
The linearized initial-boundary value problem describing small motions of the viscous, barotropic compressible fluid in a bounded vessel is studied under various boundary conditions (Dirichlet, Neumann and intermediate). It is shown that the corresponding operator generates an analytic semigroup in
This paper is devoted to the study of contraction semigroups generated by linear partial differential operators. It is shown that linear partial differential operators of order higher than two cannot generate contraction semigroups on (L p ) N for p # [1, ) unless p=2. If p>1 and the L p -dissipativ
## Abstract We consider a class of abstract evolution problems characterized by the sum of two unbounded linear operators __A__ and __B__, where __A__ is assumed to generate a positive semigroup of contractions on an L^1^โspace and B is positive. We study the relations between the semigroup generat