A strong maximum principle for globally hypoelliptic operators

DOI10.1007/s12215-018-0351-0zbMath1418.35183OpenAlexW2807873454MaRDI QIDQ2422583

Kazuaki Taira

Publication date: 20 June 2019

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://tsukuba.repo.nii.ac.jp/?action=repository_uri&item_id=49387

zbMATH Keywords

Lie algebrastrong maximum principleglobally hypoelliptic operatorFichera function

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Degenerate elliptic equations (35J70) Hypoelliptic equations (35H10)

Related Items (3)

Spectral analysis of hypoelliptic Višik-Ventcel' boundary value problems ⋮ Feller semigroups and degenerate elliptic operators III ⋮ Unnamed Item

Cites Work

• Remarks on the maximum principle for parabolic equations and its applications
• An example of a globally hypoelliptic operator
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• A class of globally hypoelliptic operators on the torus
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• Elliptic partial differential equations of second order
• Semigroups and boundary value problems
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• Hypoelliptic second order differential equations
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• Semi-groupes de Feller sur une variété à bord compacte et problèmes aux limites intégro-différentiels du second ordre donnant lieu au principe du maximum
• A strong maximum principle for degenerate elliptic operators
• On degenerate elliptic-parabolic operators of second order and their associated diffusions
• Semigroups, Boundary Value Problems and Markov Processes
• A strong maximum principle for parabolic equations
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