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Stratified Lie Groups and Potential Theory for Their Sub-Laplacians 2013 2014 Empty Stratified Lie Groups and Potential Theory for Their Sub-Laplacians 2013 2014

السبت يناير 26, 2013 9:22 am
Stratified Lie Groups and Potential Theory for Their Sub-Laplacians


Stratified Lie Groups and Potential Theory for Their Sub-Laplacians 2013 2014 9783540718963

Author: A. Bonfiglioli, E. Lanconelli, F. Uguzzoni Format: Hardcover Publish Date: November 2007 ISBN-10: 3540718966 ISBN-13: 9783540718963 List Price: $109.00

Details
Series: Springer Monographs in Mathematics Author:A. Bonfiglioli, E. Lanconelli, F. Uguzzoni Language: English Pages: 800 Publisher: Springer-Verlag

Size
Weight:3 Pounds
Length:9.3 Inches Width:6.3 Inches
Height:2 Inches

Publisher Notes
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-contained presentation of stratified Lie groups, and of their Lie
algebra of left-invariant vector fields. The presentation is accessible
to graduate students and requires no specialized knowledge in algebra
nor in differential geometry.It is thus addressed, besides PhD
students, to junior and senior researchers in different areas such as:
partial differential equations; geometric control theory; geometric
measure theory and minimal surfaces in stratified Lie groups


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