Stratified Lie groups and potential theory for their sub-Laplacians / A. Bonfiglioli, E. Lanconelli, F. Uguzzoni.

The existence, for every sub-Laplacian, of a homogeneous fundamental solution smooth out of the origin, plays a crucial role in the book. This makes it possible to develop an exhaustive Potential Theory, almost completely parallel to that of the classical Laplace operator. This book provides an exte...

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Bibliographic Details
Main Authors: Bonfiglioli, Andrea (Author), Lanconelli, E. (Ermanno) (Author), Uguzzoni, F. (Francesco) (Author)
Format: Ebook
Language:English
Published: Berlin ; New York : Springer, [2007]
Series:Springer monographs in mathematics.
Subjects:
Online Access:Springer eBooks
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Description
Summary:The existence, for every sub-Laplacian, of a homogeneous fundamental solution smooth out of the origin, plays a crucial role in the book. This makes it possible to develop an exhaustive Potential Theory, almost completely parallel to that of the classical Laplace operator. This book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups. In recent years, sub-Laplacian operators have received considerable attention due to their special role in the theory of linear second-order PDE's with semidefinite characteristic form. It also provides a largely self-c.
Physical Description:1 online resource (xxvi, 800 pages) : illustrations.
Format:Mode of access: World Wide Web.
Bibliography:Includes bibliographical references and index.
ISBN:128106646X
3540718974
9781281066466
9783540718970
ISSN:1439-7382
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