Semi-bounded Differential Operators, Contractive Semigroups and Beyond (eBook)

Alberto Cialdea, Vladimir Maz'ya (Autoren)

eBook Download: PDF

2014 | 2014
XIII, 252 Seiten
Springer International Publishing (Verlag)
978-3-319-04558-0 (ISBN)

Infos

​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.

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 21.7.2014
• Reihe/Serie: Operator Theory: Advances and Applications
• Reihe/Serie: Operator Theory: Advances and Applications
• Zusatzinfo: XIII, 252 p.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik
• Schlagworte: elasticity system • L^p-dissipativity • Partial differential equations • partial differential operators • semi-boundedness • weighted positivity
• ISBN-10: 3-319-04558-X / 331904558X
• ISBN-13: 978-3-319-04558-0 / 9783319045580