Semi-bounded Partial Differential Operators

• Main Authors: Cialdea, Alberto (Author), Maz'ya, Vladimir (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014.
• Series: Operator Theory: Advances and Applications, 243
• Subjects: Mathematics.; Operator theory.; Partial differential equations.; Operator Theory.; Partial Differential Equations.

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...

Table of Contents:

• 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.