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Dirichlet Problem for the Schrödinger Operator in a Half Space

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  • Baiyun Su

Abstract

For continuous boundary data, the modified Poisson integral is used to write solutions to the half space Dirichlet problem for the Schrödinger operator. Meanwhile, a solution of the Poisson integral for any continuous boundary function is also given explicitly by the Poisson integral with the generalized Poisson kernel depending on this boundary function.

Suggested Citation

  • Baiyun Su, 2012. "Dirichlet Problem for the Schrödinger Operator in a Half Space," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, August.
    • Handle: RePEc:hin:jnlaaa:578197
    DOI: 10.1155/2012/578197
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