Elliptic Boundary Value Problems on Corner Domains
Monique Dauge
Broschiertes Buch

Elliptic Boundary Value Problems on Corner Domains

Smoothness and Asymptotics of Solutions

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This research monograph focusses on a large class of variational elliptic problems with mixed boundary conditions on domains with various corner singularities, edges, polyhedral vertices, cracks, slits. In a natural functional framework (ordinary Sobolev Hilbert spaces) Fredholm and semi-Fredholm properties of induced operators are completely characterized. By specially choosing the classes of operators and domains and the functional spaces used, precise and general results may be obtained on the smoothness and asymptotics of solutions. A new type of characteristic condition is introduced whic...