Semi-bounded Differential Operators, Contractive Semigroups and Beyond

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 term...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Cialdea, Alberto (Autor), Maz'ya, Vladimir (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014.
Edición:1st ed. 2014.
Colección:Operator Theory: Advances and Applications, 243
Temas:
Operator theory.
Differential equations.
Operator Theory.
Differential Equations.
Acceso en línea:Texto Completo

MARC

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100 1 |a Cialdea, Alberto.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Semi-bounded Differential Operators, Contractive Semigroups and Beyond  |h [electronic resource] /  |c by Alberto Cialdea, Vladimir Maz'ya. 
250 |a 1st ed. 2014. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2014. 
300 |a XIII, 252 p.  |b online resource. 
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490 1 |a Operator Theory: Advances and Applications,  |x 2296-4878 ;  |v 243 
505 0 |a 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. 
520 |a 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. 
650 0 |a Operator theory. 
650 0 |a Differential equations. 
650 1 4 |a Operator Theory. 
650 2 4 |a Differential Equations. 
700 1 |a Maz'ya, Vladimir.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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830 0 |a Operator Theory: Advances and Applications,  |x 2296-4878 ;  |v 243 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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