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Analytic semigroups generated by ultraweak operators

Published online by Cambridge University Press:  14 November 2011

Vincenzo Vespri
Vincenzo Vespri
Affiliation:
Università di Milano, Dipartimento di Matematica, via Saldini 50, 20133 Milano, Italy
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Synopsis

Let Ω be a regular open subset of RN. We present an improved generation result for nonvariational operators in L1 (Ω). This result is obtained by studying ultraweak operators and by proving generation of analytic semigroups in Lp(Ω)(l<p≦∞) and in . We also characterise interpolation and extrapolation spaces.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 119 , Issue 1-2 , 1991 , pp. 87 - 105
Copyright
Copyright © Royal Society of Edinburgh 1991

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