Logo - springer
Slogan - springer

Birkhäuser - Birkhäuser Mathematics | Semi-bounded Differential Operators, Contractive Semigroups and Beyond

Semi-bounded Differential Operators, Contractive Semigroups and Beyond

Cialdea, Alberto, Maz'ya, Vladimir

2014, XIII, 252 p.

A product of Birkhäuser Basel
Available Formats:

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.


(net) price for USA

ISBN 978-3-319-04558-0

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase

learn more about Springer eBooks

add to marked items


Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.


(net) price for USA

ISBN 978-3-319-04557-3

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days

add to marked items

  • ​Treatment of a subject that has hardly been worked in so far
  • No comparable book on the market, no significant intersections with existing monographic literature
  • Most results obtained by the authors themselves

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.

Content Level » Research

Keywords » L^p-dissipativity - elasticity system - partial differential operators - semi-boundedness - weighted positivity

Related subjects » Birkhäuser Mathematics

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.

Popular Content within this publication 



Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Operator Theory.