Semi-bounded Differential Operators, Contractive Semigroups and Beyond

Semi-bounded Differential Operators, Contractive Semigroups and Beyond

by Alberto Cialdea, Vladimir Maz'ya

Paperback(Softcover reprint of the original 1st ed. 2014)

View All Available Formats & Editions
Choose Expedited Shipping at checkout for guaranteed delivery by Thursday, September 26


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.

Product Details

ISBN-13: 9783319356709
Publisher: Springer International Publishing
Publication date: 10/07/2016
Series: Operator Theory: Advances and Applications , #243
Edition description: Softcover reprint of the original 1st ed. 2014
Pages: 252
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of 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.

Customer Reviews

Most Helpful Customer Reviews

See All Customer Reviews