• The embedding method for linear partial differential equations in unbounded and multiply connected domains

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      https://www.ias.ac.in/article/fulltext/pmsc/116/03/0361-0371

    • Keywords

       

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

    • Abstract

       

      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.

    • Author Affiliations

       

      P N Shankar1

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

       
  • Proceedings – Mathematical Sciences | News

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