On Mean Value formulas for solutions to second order linear PDEs

DOI10.2422/2036-2145.201904_014zbMath1476.35089OpenAlexW3127997857WikidataQ113704557 ScholiaQ113704557MaRDI QIDQ5161597

Ermanno Lanconelli, Giovanni Cupini

Publication date: 1 November 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.201904_014

zbMATH Keywords

Kolmogorov operatorsheat operators on stratified Lie groups

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (1)

The \(L^{\infty }\)-positivity preserving property and stochastic completeness

Cites Work

• On left-invariant Hörmander operators in \(\mathbb R^N\). Applications to Kolmogorov-Fokker-Planck equations
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• Sulle equazioni a derivate parziali, lineari del secondo ordine in due variabili, di tipo parabolico
• Estimations optimales du noyau de la chaleur sur les groupes de type Heisenberg
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• Harnack's Inequality for Sum of Squares of Vector Fields Plus a Potential
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• Level Sets of the Fundamental Solution and Harnack Inequality for Degenerate Equations of Kolmogorov Type
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