Subcoercivity and subelliptic operators on Lie groups. I: Free nilpotent groups

DOI10.1007/BF01468248zbMath0923.22005WikidataQ115393401 ScholiaQ115393401MaRDI QIDQ1335528

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

Publication date: 9 October 1994

Published in: Potential Analysis (Search for Journal in Brave)

zbMATH Keywords

Lie groupsrepresentationLie groupsubelliptic operatorssubcoercivity

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Analysis on real and complex Lie groups (22E30) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Nilpotent and solvable Lie groups (22E25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Higher-order elliptic equations (35J30)

Related Items (11)

Subcoercivity and subelliptic operators on Lie groups. I: Free nilpotent groups ⋮ Subcoercivity and subelliptic operators on Lie groups. II: The general case ⋮ Subelliptic operators on Lie groups: Variable coefficients ⋮ Grušin operators, Riesz transforms and nilpotent Lie groups ⋮ Sobolev spaces on Lie groups: embedding theorems and algebra properties ⋮ High order regularity for subelliptic operators on Lie groups of polynomial growth ⋮ Sobolev algebras on nonunimodular Lie groups ⋮ Gaussian bounds for complex subelliptic operators on Lie groups of polynomial growth ⋮ Weighted subcoercive operators on Lie groups ⋮ Riesz transforms and Lie groups of polynomial growth ⋮ On evolution equations for moving domains

Cites Work

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• Hypoelliptic second order differential equations
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• On semigroups generated by left-invariant positive differential operators on nilpotent Lie groups
• Caracterisation des operateurs hypoelliptiques homogenes
• L^∞ -Contractivity of Semigroups Generated by Sectorial Forms
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• Analytic and Entire Vectors for Representations of Lie Groups
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