Hardy spaces and regularity for the inhomogeneous Dirichlet and Neumann problems

DOI10.4171/RMI/718zbMath1263.35080MaRDI QIDQ1941173

Dorina Mitrea, Li Xin Yan, Marius Mitrea, Xuan Thinh Duong, Steven Hofmann

Publication date: 11 March 2013

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

zbMATH Keywords

Hardy spaceatomconvex domainheat semigroupGreen operatorsemiconvex domaininhomogeneous Dirichlet and Neumann problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) (H^p)-spaces (42B30) Green's functions for elliptic equations (35J08)

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