Green matrices and continuity of the weak solutions for the elliptic systems with lower order terms

DOI10.1142/S0129167X16500105zbMath1338.35160OpenAlexW2205170464MaRDI QIDQ2797894

Jinping Zhuge, Zhenqiu Zhang

Publication date: 1 April 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x16500105

zbMATH Keywords

continuityHölder continuityelliptic systemsSchauder estimatesGreen's matricesKato-Stummel class

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Second-order elliptic systems (35J47)

Related Items

Regularity theory and Green's function for elliptic equations with lower order terms in unbounded domains, On scale-invariant bounds for the Green's function for second-order elliptic equations with lower-order coefficients and applications

Cites Work

• On a new Kato class and positive solutions of Dirichlet problems for the fractional Laplacian in bounded domains
• Harnack inequality and continuity of solutions to quasi-linear degenerate parabolic equations with coefficients from Kato-type classes
• The Green matrix for strongly elliptic systems of second order with continuous coefficients
• Hölder-continuity of solutions for some Schrödinger equations
• Regularity for a class of strongly degenerate quasilinear operators
• Harnack's Inequality for Schrodinger Operators and the Continuity of Solutions
• Harnack's Inequality for Degenerate Schrodinger Operators
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