Operator Theory: Advances and Applications

Semi-bounded Differential Operators, Contractive Semigroups and Beyond

Authors: Cialdea, Alberto, Maz'ya, Vladimir

  • ​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
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Hardcover $109.00
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  • ISBN 978-3-319-04557-3
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  • Due: October 7, 2016
  • ISBN 978-3-319-35670-9
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About this book

​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.

Reviews

“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)


Table of contents (7 chapters)

  • Preliminary Facts on Semi-boundedness of Forms and Operators

    Cialdea, Alberto (et al.)

    Pages 1-28

  • $$L^p$$ -dissipativity of Scalar Second-order Operators with Complex Coefficients

    Cialdea, Alberto (et al.)

    Pages 29-72

  • Elasticity System

    Cialdea, Alberto (et al.)

    Pages 73-92

  • $$L^p$$ -dissipativity for Systems of Partial Differential Operators

    Cialdea, Alberto (et al.)

    Pages 93-135

  • The Angle of $$L^p$$ -dissipativity

    Cialdea, Alberto (et al.)

    Pages 137-143

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-319-04558-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-319-04557-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 7, 2016
  • ISBN 978-3-319-35670-9
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Semi-bounded Differential Operators, Contractive Semigroups and Beyond
Authors
Series Title
Operator Theory: Advances and Applications
Series Volume
243
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-04558-0
DOI
10.1007/978-3-319-04558-0
Hardcover ISBN
978-3-319-04557-3
Softcover ISBN
978-3-319-35670-9
Series ISSN
0255-0156
Edition Number
1
Number of Pages
XIII, 252
Topics