Semi-bounded Differential Operators, Contractive Semigroups and Beyond (Operator Theory: Advances and Applications, #243)

by Alberto Cialdea and Vladimir Maz'ya

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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 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.
  • ISBN13 9783319356709
  • Publish Date 23 August 2016 (first published 26 July 2014)
  • Publish Status Active
  • Out of Print 20 March 2021
  • Publish Country CH
  • Imprint Birkhauser Verlag AG
  • Edition Softcover reprint of the original 1st ed. 2014
  • Format Paperback
  • Pages 252
  • Language English