A remark on the abstract cauchy problem on spaces of holder continuous functions

Matthias Georg Hieber; Frank Räbiger

doi:10.1090/S0002-9939-1992-1092921-X

A remark on the abstract cauchy problem on spaces of holder continuous functions

Matthias Georg Hieber, Frank Räbiger

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that the generator of a Co-semigroup on C^α(Rⁿ) is a bounded operator. Nevertheless, certain elliptic differential operators generate β-times integrated semigroups on C^α(Rⁿ) whenever α <n/2 +.

Original language	English
Pages (from-to)	431-434
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	115
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1992-1092921-X
Publication status	Published - 1992
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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abstract = "We prove that the generator of a Co-semigroup on Cα(Rn) is a bounded operator. Nevertheless, certain elliptic differential operators generate β-times integrated semigroups on Cα(Rn) whenever α ",

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A remark on the abstract cauchy problem on spaces of holder continuous functions

Abstract

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