Stratified Lie Groups and Potential Theory for Their Sub-Laplacians

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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Detalles Bibliográficos
Autores principales: Bonfiglioli, A, Lanconelli, E, Uguzzoni, F
Lenguaje:eng
Publicado: Springer 2007
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-540-71897-0
http://cds.cern.ch/record/1338259
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author Bonfiglioli, A
Lanconelli, E
Uguzzoni, F
author_facet Bonfiglioli, A
Lanconelli, E
Uguzzoni, F
author_sort Bonfiglioli, A
collection CERN
description 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
id cern-1338259
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2007
publisher Springer
record_format invenio
spelling cern-13382592021-04-22T01:06:57Zdoi:10.1007/978-3-540-71897-0http://cds.cern.ch/record/1338259engBonfiglioli, ALanconelli, EUguzzoni, FStratified Lie Groups and Potential Theory for Their Sub-LaplaciansMathematical Physics and MathematicsThe 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-cSpringeroai:cds.cern.ch:13382592007
spellingShingle Mathematical Physics and Mathematics
Bonfiglioli, A
Lanconelli, E
Uguzzoni, F
Stratified Lie Groups and Potential Theory for Their Sub-Laplacians
title Stratified Lie Groups and Potential Theory for Their Sub-Laplacians
title_full Stratified Lie Groups and Potential Theory for Their Sub-Laplacians
title_fullStr Stratified Lie Groups and Potential Theory for Their Sub-Laplacians
title_full_unstemmed Stratified Lie Groups and Potential Theory for Their Sub-Laplacians
title_short Stratified Lie Groups and Potential Theory for Their Sub-Laplacians
title_sort stratified lie groups and potential theory for their sub-laplacians
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-540-71897-0
http://cds.cern.ch/record/1338259
work_keys_str_mv AT bonfigliolia stratifiedliegroupsandpotentialtheoryfortheirsublaplacians
AT lanconellie stratifiedliegroupsandpotentialtheoryfortheirsublaplacians
AT uguzzonif stratifiedliegroupsandpotentialtheoryfortheirsublaplacians

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