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Partial differential equations; boundary value problems; the embedding method; unbounded and multiply connected domains

The recently suggested embedding method to solve linear boundary value problems is here extended to cover situations where the domain of interest is unbounded or multiply connected. The extensions involve the use of complete sets of exterior and interior eigenfunctions on canonical domains. Applications to typical boundary value problems for Laplace’s equation, the Oseen equations and the biharmonic equation are given as examples.

P N Shankar¹

1. National Aerospace Laboratories, Bangalore - 560 017, India

Published

August 2006

Manuscript received

20 January 2006