Aspects of the L2-Sobolev theory of the ∂̄-Neumann problem Conference Paper uri icon


  • The ∂̄-Neumann problem is the fundamental boundary value problem in several complex variables. It features an elliptic operator coupled with non-coercive boundary conditions. The problem is globally regular on many, but not all, pseudoconvex domains. We discuss several recent developments in the L2-Sobolev theory of the ∂̄-Neumann problem that concern compactness and global regularity. © 2006 European Mathematical Society.

author list (cited authors)

  • Straube, E. J.

publication date

  • December 2006