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Semi-bounded Differential Operators, Contractive Semigroups and Beyond. Softcover reprint of the original 1st ed. 2014.
・ISBN 978-3-319-35670-9 paper EUR 49.99
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| 著者・編者 | Cialdea, Alberto / Maz'ya, Vladimir, |
|---|---|
| シリーズ | Operator Theory: Advances and Applications |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2016 |
| ページ数 | 252 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-20612> |
解説
In the present book the conditions are studied for the semi-boundedness of partial differential operators which is interpreted in different ways. Nowadays one knows rather much about L2-semibounded differential and pseudo-differential operators, although their complete characterization in analytic terms causes difficulties even for rather simple operators. Until recently almost nothing was known about analytic characterizations of semi-boundedness for differential operators in other Hilbert function spaces and in Banach function spaces. The goal of the present book is to partially fill this gap. Various types of semi-boundedness are considered and some relevant conditions which are either necessary and sufficient or best possible in a certain sense are given. Most of the results reported in this book are due to the authors.