Subcoercive and subelliptic operators on Lie groups: Variable coefficients

DOI10.2977/prims/1195166574zbMath0816.43002OpenAlexW2152398650WikidataQ115224836 ScholiaQ115224836MaRDI QIDQ1318887

Derek W. Robinson, A. F. M. ter Elst

Publication date: 13 July 1995

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195166574

zbMATH Keywords

regularizationheat semigrouphigher-order operatorsconnected Lie groupsecond-order subelliptic differential operators

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) General theory of partial differential operators (47F05) Second-order elliptic equations (35J15) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Higher-order elliptic equations (35J30)

Related Items (7)

Subelliptic operators on Lie groups: Variable coefficients ⋮ Stochastic analysis without probability: study of some basic tools ⋮ Heat Kernels on homogeneous spaces ⋮ Derivatives of kernels associated to complex subelliptic operators ⋮ Bismut’s way of the Malliavin calculus for large order generators on a Lie group ⋮ Weighted subcoercive operators on Lie groups ⋮ Stochastic analysis for a non-Markovian generator: an introduction

Cites Work

• Opérateurs uniformément sous-elliptiques sur les groupes de Lie. (Uniformly sub-elliptic operators on Lie groups)
• Balls and metrics defined by vector fields. I: Basic properties
• Hypoelliptic differential operators and nilpotent groups
• Subelliptic operators on Lie groups: Variable coefficients
• Sharp pointwise estimate for the kernels of the semigroup generated by sums of even powers of vector fields on homogeneous groups
• On Infinitely Differentiable and Gevrey Vectors for Representation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Subcoercive and subelliptic operators on Lie groups: Variable coefficients