TY - BOOK ID - 700005 TI - Semi-bounded differential operators, contractive semigroups and beyond AU - Cialdea, Alberto. AU - Maz'ya, Vladimir. PY - 2014 SN - 331904558X 3319045571 PB - Cham : Springer International Publishing : Imprint: Birkhäuser, DB - UniCat KW - Differential operators. KW - Operators, Differential KW - Differential equations KW - Operator theory KW - Operator theory. KW - Differential equations, partial. KW - Operator Theory. KW - Partial Differential Equations. KW - Partial differential equations KW - Functional analysis KW - Partial differential equations. UR - https://www.unicat.be/uniCat?func=search&query=sysid:700005 AB - This book examines the conditions for the semi-boundedness of partial differential operators, which are interpreted in different ways. For example, today we know a great deal about L2-semibounded differential and pseudodifferential operators, although their complete characterization in analytic terms still poses difficulties, even for fairly simple operators. In contrast, 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. This book works to address that gap. As such, various types of semi-boundedness are considered and a number of relevant conditions which are either necessary and sufficient or best possible in a certain sense are presented. The majority of the results reported on are the authors’ own contributions. ER -