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Solvability and Maximal Regularity of Parabolic Evolution Equations with Coefficients Continuous in Time

✍ Scribed by Jan Prüss; Roland Schnaubelt

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 191 KB
Volume: 256
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7247

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✦ Synopsis

A и g C 0, T , L L D A 0 , X and construct the corresponding evolution family on the underlying Banach space X. Our proofs are based on the operator sum method and the use of evolution semigroups. The results are applied to parabolic partial differential equations with continuous coefficients.

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