$L_p$-estimates for the nontangential maximal function of the solution to a second-order elliptic equation

DOI10.1070/SM8698zbMath1375.35141MaRDI QIDQ2957861

A. K. Gushchin

Publication date: 30 January 2017

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

zbMATH Keywords

Dirichlet problemnontangential maximal functionhomogeneous second order elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items

Cosmological models with homogeneous and isotropic spatial sections, Existence of a renormalized solution to an anisotropic parabolic problem with variable nonlinearity exponents, The Luzin area integral and the nontangential maximal function for solutions to a second-order elliptic equation, Extensions of the space of continuous functions and embedding theorems, Lie-Poisson structures over differential algebras, On the definitions of boundary values of generalized solutions to an elliptic-type equation, A criterion for the existence of \(L_p\) boundary values of solutions to an elliptic equation, Analysis in algebras and modules, Chern-Simons action and disclinations, Finding stationary solutions of the Lindblad equation by analyzing the entropy production functional, The boundary values of solutions of an elliptic equation, On the existence of \(L_2\) boundary values of solutions to an elliptic equation, Analysis in noncommutative algebras and modules

Cites Work

• Solvability of the Dirichlet problem for a second-order elliptic equation with a boundary function from \(L_{p}\)
• Demonstration representation and tensor products of Clifford algebras
• Estimates of the nontangential maximal function for solutions of a second-order elliptic equation
• 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
• Unnamed Item