1. Home
    2. Journals
    3. Proceedings – Mathematical Sciences
    4. Volume 116
    5. Issue 3

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

      P N Shankar

      Volume 116 Issue 3 August 2006 pp 361-371

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      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

       
      Published
      August 2006
      Manuscript received
      20 January 2006

  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.

Contact | Site index