Applications of semigroups of operators to non-elliptic differential operators
β Scribed by Quan Zheng
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 756 KB
- Volume
- 45
- Category
- Article
- ISSN
- 1001-6538
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π SIMILAR VOLUMES
H 0 and one can use the Neumann series β Ξ½=0 (I -L L) Ξ½ L f in order to study solvability of the operator equation Lu = f . In particular, applying this method to the ill -posed Cauchy problem for solutions to an elliptic system P u = 0 of linear PDE's of order p with smooth coefficients we obtain
Eigenfunctions of elliptic boundary value problems can be well approximated by entire functions of exponential type and, as a consequence, it is possible to transfer approximation results with entire functions to eigenfunction expansions. Here, in particular, we consider Jackson and Bernstein type t