Semi-bounded differential operators, contractive semigroups and beyond / Alberto Cialdea and Vladimir Maz'ya.
Material type:
TextSeries: Operator theory, advances and applications ; v 243.Publication details: New York : Springer, 2014.Description: xiii, 252 p. ; 24 cmISBN: - 9783319045573 (hard cover : alk. paper)
- 515.724 23 C565
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.724 C565 (Browse shelf(Opens below)) | Available | 136336 |
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| 515.724 B877 Introduction to operator theory | 515.724 C319 Transmution,scattering theory and special functions | 515.724 C436 Modern approaches to the invariant-subspace problem | 515.724 C565 Semi-bounded differential operators, contractive semigroups and beyond / | 515.724 C587 Seminormal operators | 515.724 C748 Operator theory, system theory and related topics | 515.724 C748 Pseudo-differential operators |
Includes bibliographical references and index.
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--
Bibliography--
Index.
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.
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