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

Cialdea, Alberto; Maz'ya, Vladimir

ISBN 10: 3319356704 / ISBN 13: 9783319356709

Edité par Springer (India) Private Limited, 2016

A propos de cet article

pp. 252.

N° de réf. du vendeur 26375160826

Détails bibliographiques

• Titre: Semi-bounded Differential Operators, Contractive Semigroups and Beyond (Operator Theory: Advances and Applications)
• Éditeur: Springer (India) Private Limited
• Date de parution: 2016
• Langue: anglais
• ISBN à 10 chiffres: 3319356704
• ISBN à 13 chiffres: 9783319356709
• Reliure: Couverture souple
• État de l'article: New

A propos de ce titre

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.