A remark on the abstract Cauchy problem on spaces of Hölder continuous functions
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- by Matthias Hieber and Frank Räbiger PDF
- Proc. Amer. Math. Soc. 115 (1992), 431-434 Request permission
Abstract:
We prove that the generator of a ${C_0}$-semigroup on ${C^\alpha }({\mathbb {R}^n})$ is a bounded operator. Nevertheless, certain elliptic differential operators generate $\beta$-times integrated semigroups on ${C^\alpha }({\mathbb {R}^n})$ whenever $\beta > n/2 + 1$.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 431-434
- MSC: Primary 47D03; Secondary 34G10, 47D06
- DOI: https://doi.org/10.1090/S0002-9939-1992-1092921-X
- MathSciNet review: 1092921