Semi-bounded Differential Operators, Contractive Semigroups and Beyond
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ISBN-13:
9783319045573
Veröffentl:
2014
Einband:
HC runder Rücken kaschiert
Erscheinungsdatum:
01.08.2014
Seiten:
268
Autor:
Vladimir Maz’ya
Gewicht:
571 g
Format:
241x160x21 mm
Serie:
243, Operator Theory: Advances and Applications
Sprache:
Englisch
Beschreibung:
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.
Treatment of a subject that has hardly been worked in so far
Introduction.- 1 Preliminary facts on semi-boundedness of forms and operators.- 2 Lp-dissipativity of scalar second order operators with complex coefficients.- 3 Elasticity system.- 4 Lp-dissipativity for systems of partial differential operators.- 5 The angle of Lp-dissipativity.- 6 Higher order differential operators in Lp.- 7 Weighted positivity and other related results.- References.
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