Semi-bounded Differential Operators, Contractive Semigroups and Beyond

von Alberto Cialdea, Vladimir Maz'ya

252 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: Operator Theory: Advances and Applications
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Funktionalanalysis und Abwandlungen
• ISBN: 9783319045573
• Sprache: Englisch
• Erscheinungsdatum: 01.08.2014
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing