Hypoellipticity, fundamental solution and Liouville type theorem for matrix-valued differential operators in Carnot groups

DOI10.4171/JEMS/166zbMath1184.35117OpenAlexW1980699563MaRDI QIDQ843184

Annalisa Baldi, Bruno Franchi, Maria Carla Tesi

Publication date: 29 September 2009

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=1435-9855&vol=11&iss=4&rank=3

zbMATH Keywords

maximal subellipticity maximally hypoelliptic operators

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Analysis on other specific Lie groups (43A80) Hypoelliptic equations (35H10) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (10)

Gagliardo-Nirenberg inequalities for differential forms in Heisenberg groups ⋮ POINCARÉ AND SOBOLEV INEQUALITIES FOR DIFFERENTIAL FORMS IN HEISENBERG GROUPS AND CONTACT MANIFOLDS ⋮ Maximal Hypoellipticity for Left-Invariant Differential Operators on Lie Groups ⋮ Limiting Sobolev and Hardy inequalities on stratified homogeneous groups ⋮ Faraday's form and Maxwell's equations in the Heisenberg group ⋮ Sharp a priori estimates for div-curl systems in Heisenberg groups ⋮ Cohomology of annuli, duality and \(L^\infty\)-differential forms on Heisenberg groups ⋮ Gagliardo-Nirenberg Inequalities for Horizontal Vector Fields in the Engel Group and in the Seven-Dimensional Quaternionic Heisenberg Group ⋮ \(L^1\)-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups ⋮ Gaffney-Friedrichs inequality for differential forms on Heisenberg groups

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