Stratified Lie Groups and Potential Theory for Their Sub-Laplacians
Publication year: 2007
ISBN: 978-3-540-71897-0
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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.
Subject: Mathematics and Statistics, Algebra algebra, Potential theory, Stratified Lie groups, Subelliptic-Laplacians, Vector field, maximum principle, partial differential equation
