Aspects of the L2-Sobolev theory of the �Ý-Neumann

• Autores: Emil J. Straube
• Localización: Proceedings oh the International Congress of Mathematicians: Madrid, August 22-30,2006 : invited lectures / coord. por Marta Sanz Solé, Javier Soria de Diego, Juan Luis Varona Malumbres, Joan Verdera, Vol. 2, 2006, ISBN 978-3-03719-022-7, págs. 1453-1478
• Idioma: inglés
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• Resumen

  • The �Ý-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 theL2-Sobolev theory of the �Ý-Neumann problem that concern compactness and global regularity.