Dirichlet Problem for the Schrödinger Operator in a Half Space

Baiyun Su

Abstract and Applied Analysis, 2012, vol. 2012, 1-14

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:578197

DOI: 10.1155/2012/578197

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