Solvability of the Poisson-Dirichlet problem with interior data in $L^{p'}$-Carleson spaces and its applications to the $L^{p}$-regularity problem

Xavier Tolsa, Mihalis Mourgoglou, Bruno Poggi

Publication date: 21 July 2022

Boundary value problems for second-order elliptic equations (35J25) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Connections of harmonic functions with differential equations in higher dimensions (31B35) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Green's functions for elliptic equations (35J08) Harmonic analysis and PDEs (42B37)

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