The concept of boundary values of holomorphic semigroups is used to give a new proof of a result due to Hörmander, saying that the operator iΔ generates a C0-semigroup on LP(ℝN) if and only if p = 2. Using a recent result on Laplace transforms by Prüss one obtains by this theory also a new proof of the classical characterization theorem of holomorphic semigroups.
|Number of pages||3|
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - 1997|
ASJC Scopus subject areas
- Applied Mathematics