SOLVING EXTERIOR NEUMANN BOUNDARYVALUE PROBLEMS FOR BELTRAMI FIELDSTHROUGH THE BELTRAMI SYSTEM

摘要

The Neumann boundary value problem for Beltrami fields V x u = ku with constant k is studied in exte-rior domains. The problem is approached by considering the extended Beltrami system for which the unique solvability of the Dirichlet problem and of the Neumann problem are shown with a boundary integral equation method. The boundary in-tegral equations for the Neumann problem of the Beltrami fields and their solvability follow from the Beltrami system results.