Semi-bounded Differential Operators, Contractive Semigroups and Beyond

Name: Semi-bounded Differential Operators, Contractive Semigroups and Beyond
Brand: Birkhäuser
Price: 53.49 EUR
Availability: OnlineOnly

Alberto Cialdea Vladimir Maz'ya(Author)

Birkhäuser (Publisher)

1st Edition

Published on 21. July 2014

XIII, 252 pages

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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 L ² -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.

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"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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Semi-bounded Differential Operators, Contractive Semigroups and Beyond

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