Semi-bounded Differential Operators, Contractive Semigroups and Beyond
(Sprache: Englisch)
This trail-blazing treatment of a new and emerging topic sets out the authors' own research into differing interpretations of the semi-boundedness of partial differential operators. It examines function spaces that include the Hilbert and Banach varieties.
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This trail-blazing treatment of a new and emerging topic sets out the authors' own research into differing interpretations of the semi-boundedness of partial differential operators. It examines function spaces that include the Hilbert and Banach varieties.
Klappentext zu „Semi-bounded Differential Operators, Contractive Semigroups and Beyond “
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.
Inhaltsverzeichnis zu „Semi-bounded Differential Operators, Contractive Semigroups and Beyond “
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.
Bibliographische Angaben
- Autoren: Alberto Cialdea , Vladimir Maz'ya
- 2016, Softcover reprint of the original 1st ed. 2014, XIII, 252 Seiten, Maße: 15,7 x 23,7 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3319356704
- ISBN-13: 9783319356709
Sprache:
Englisch
Pressezitat
"This book is valuable; it contains a lot of new information and deep, complicated proofs. ... it is a very good book, and every serious research university library should get it. I expect it to inspire new research." (Jerome A. Goldstein, Bulletin of the American Mathematical Society, Vol. 55 (1), January, 2018)"The book is logically ordered and clearly written ... . It will be of interest to specialists and graduate students working on partial differential operators in function spaces." (Hector O. Fattorini, zbMATH 1317.47002, 2015)
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