Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Semi-bounded differential operators, contractive semigroups and beyond / Alberto Cialdea and Vladimir Maz'ya.

By: Contributor(s): Material type: TextTextSeries: Operator theory, advances and applications ; v 243.Publication details: New York : Springer, 2014.Description: xiii, 252 p. ; 24 cmISBN:
  • 9783319045573 (hard cover : alk. paper)
Subject(s): DDC classification:
  • 515.724 23 C565
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-- Bibliography-- Index.
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.
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
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
Total holds: 0

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.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in