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Semi-bounded differential operators, contractive semigroups and beyond / Alberto Cialdea, Vladimir Maz'ya.
| Author/creator | Cialdea, Alberto |
| Other author | Mazʹi͡a, V. G. |
| Format | Electronic |
| Publication Info | Cham : Birkhäuser/Springer, [2014] |
| Description | xiii, 252 pages ; 24 cm. |
| Supplemental Content | Full text available from Springer Books |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2014 English International |
| Supplemental Content | Full text available from eBooks on EBSCOhost |
| Subjects |
| Series | Operator theory, advances and applications, 0255-0156 ; v. 243 Operator theory, advances and applications ; v. 243. |
| Contents | 1. Preliminary facts on semi-boundedness of forms and operators -- 2. Lp-dissipativity of scalar second-order operators with complex coefficients -- 3. Elasticity system -- 4. Lp-dissipativity for systems of partial differential operators -- 5. The angle of Lp-dissipativity -- 6. Higher-order differential operators in Lp -- 7. Weighted positivity and other related results. |
| Summary | This book examines the conditions for the semi-boundedness of partial differential operators, which are interpreted in different ways. For example, today we know a great deal about L²-semibounded differential and pseudodifferential operators, although their complete characterization in analytic terms still poses difficulties, even for fairly simple operators. In contrast, 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. This book works to address that gap. As such, various types of semi-boundedness are considered and a number of relevant conditions which are either necessary and sufficient or best possible in a certain sense are presented. The majority of the results reported on are the authors' own contributions.-- Source other than Library of Congress |
| Bibliography note | Includes bibliographical references (p. 243-249) and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2014943521 |
| ISBN | 9783319045573 (hd.bd.) |
| ISBN | 3319045571 (hd.bd.) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |