Estimates of the nontangential maximal function for solutions of a second-order elliptic equation

DOI10.1134/S1064562412050225zbMath1271.35014MaRDI QIDQ1930841

A. K. Gushchin

Publication date: 14 January 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

weak solutionsa priori estimateharmonic functionsnontangential maximal functionLusin area integralsecond-order elliptic Dirichlet problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Weak solutions to PDEs (35D30)

Related Items (5)

The Luzin area integral and the nontangential maximal function for solutions to a second-order elliptic equation ⋮ $L_p$-estimates for the nontangential maximal function of the solution to a second-order elliptic equation ⋮ Solvability of the Dirichlet problem for second-order elliptic equations ⋮ The boundary values of solutions of an elliptic equation ⋮ On solvability of the Dirichlet problem with the boundary function in \(L_2\) for a second-order elliptic equation

Cites Work

• Solvability of the Dirichlet problem for a second-order elliptic equation with a boundary function from \(L_{p}\)
• Interpolations by bounded analytic functions and the corona problem
• An Interpolation Problem for Bounded Analytic Functions
• Continuity of Solutions of Parabolic and Elliptic Equations
• Weighted norm inequalities for the Lusin area integral and the nontangential maximal functions for functions harmonic in a Lipschitz domain
• Lp Estimates for (Pluri-) Subharmonic Functions.
• Distribution function inequalities for the area integral
• Unnamed Item
• Unnamed Item

This page was built for publication: Estimates of the nontangential maximal function for solutions of a second-order elliptic equation