Hölder continuity for a class of strongly degenerate Schrödinger operator formed by vector fields

DOI10.1007/s10255-011-0098-2zbMath1272.35078OpenAlexW2016575221MaRDI QIDQ350746

Rongfei Lin, Yongyang Jin, Jielin Lü

Publication date: 3 July 2013

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-011-0098-2

zbMATH Keywords

Hölder continuityGreen functiondegenerate Schrödinger operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Schrödinger operator, Schrödinger equation (35J10) Green's functions for elliptic equations (35J08) Close-to-elliptic equations (35H99)

Cites Work

• Hölder continuity for a class of \(X\)-elliptic equations with singular lower order term
• An elementary proof of Harnack's inequality for Schrödinger operators and related topics
• Balls and metrics defined by vector fields. I: Basic properties
• Hölder-continuity of solutions for some Schrödinger equations
• On Harnack's inequality for a class of strongly degenerate Schrödinger operators formed by vector fields
• Hölder continuity for solutions of linear degenerate elliptic equations under minimal assumptions
• Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications
• Hypoelliptic second order differential equations
• Harnack's Inequality for Schrodinger Operators and the Continuity of Solutions
• Existence And Size Estimates For The Green's Functions Of Differential Operators Constructed From Degenerate Vector Fields
• Harnack's Inequality for Degenerate Schrodinger Operators
• Hölder continuity of solutions of some degenerate elliptic differential equations
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