Inversion of stochastic partial differential operators—The linear case
✍ Scribed by G Adomian; K Malakian
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 272 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
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
Elliptic complexes, made up of certain linear partial differential operators D 1 , ..., D d with C coefficients, are constructed. The local solvability problem for the nonhomogeneous equations D p u= f ( p # [1, ..., d]) and the local integrability problem for the homogeneous equation D 1 u=0 are so