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A Strong Contractivity Property for Semigroups Generated by Differential Operators

โœ Scribed by Robert M. Kauffman

Book ID
125691113
Publisher
American Mathematical Society
Year
1988
Tongue
English
Weight
395 KB
Volume
307
Category
Article
ISSN
0002-9947

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โœ Mikael Langer; Vladimir Maz'ya ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 236 KB

This paper is devoted to the study of contraction semigroups generated by linear partial differential operators. It is shown that linear partial differential operators of order higher than two cannot generate contraction semigroups on (L p ) N for p # [1, ) unless p=2. If p>1 and the L p -dissipativ