Liouville theorems in halfspaces for parabolic hypoelliptic equations

DOI10.1007/s11587-006-0015-9zbMath1121.35030OpenAlexW2011893989MaRDI QIDQ996934

Ermanno Lanconelli, Elisabetta Alessia Kogoj

Publication date: 19 July 2007

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-006-0015-9

zbMATH Keywords

Liouville TheoremsLiouville Theorems in half-spacesParabolic operators

Mathematics Subject Classification ID

Subelliptic equations (35H20)

Related Items (9)

Uniqueness in the Cauchy problem for a class of hypoelliptic ultraparabolic operators ⋮ On Liouville-type theorems and the uniqueness of the positive Cauchy problem for a class of hypoelliptic operators ⋮ Liouville-type theorems for a system governed by degenerate elliptic operators of fractional orders ⋮ Liouville theorems for a class of linear second-order operators with nonnegative characteristic form ⋮ Weighted \(L^p\)-Liouville theorems for hypoelliptic partial differential operators on Lie groups ⋮ Liouville-type theorems for elliptic inequalities involving the Δ_λ-Laplace operator ⋮ Liouville-type theorems for certain degenerate and singular parabolic equations ⋮ A Liouville-type Theorem on half-spaces for sub-Laplacians ⋮ \(L^p\)-Liouville theorems for invariant partial differential operators in \(\mathbb{R}^n\)

Cites Work

• Unnamed Item
• Unnamed Item
• Phragmén-Lindelöf-type theorems and Liouville theorems for a linear parabolic equation
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• An invariant Harnack inequality for a class of hypoelliptic ultraparabolic equations
• Classical, viscosity and average solutions for PDE's with nonnegative characteristic form
• A note on the heat equation
• Liouville theorems for heat functions

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