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Author Cialdea, Alberto, author

Title Semi-bounded differential operators, contractive semigroups and beyond / Alberto Cialdea, Vladimir Maz'ya
Published Cham : Birkhäuser, 2014
Online access available from:
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Description 1 online resource (xiii, 252 pages)
Series Operator Theory: Advances and Applications, 0255-0156 ; volume 243
Operator theory, advances and applications ; v. 243. 0255-0156
Contents Introduction -- 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 -- References
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
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (SpringerLink, viewed August 6, 2014)
Subject Operator theory.
Form Electronic book
Author Mazʹi͡a, V. G., author
ISBN 3319045571 (print)
331904558X (electronic bk.)
9783319045573 (print)
9783319045580 (electronic bk.)