Semi-bounded Differential Operators, Contractive Semigroups and Beyond

Cialdea, Alberto; Maz'Ya, Vladimir

ISBN 10: 3319356704 / ISBN 13: 9783319356709

Edité par Birkhäuser, 2016

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Détails bibliographiques

Titre : Semi-bounded Differential Operators, ...

Éditeur : Birkhäuser

Date d'édition : 2016

Reliure : Couverture souple

Etat : As New

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Synopsis :

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.

Présentation de l'éditeur:

This trail-blazing treatment of a new and emerging topic sets out the authors' own research into differing interpretations of the semi-boundedness of partial differential operators. It examines function spaces that include the Hilbert and Banach varieties.