Variation of Neumann and Green functions under homotopies of the boundary

Eric Schippers; Wolfgang Staubach

doi:10.1007/s11856-009-0092-z

Variation of Neumann and Green functions under homotopies of the boundary

Eric Schippers, Wolfgang Staubach

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We develop variational formulas for certain Neumann and Green functions of multiply connected planar domains, valid for any smooth homotopy of the boundary. The modified Neumann and Green functions under consideration arise in the study of holomorphic functions with single-valued primitives. © Hebrew University Magnes Press 2009.

Original language	English
Pages (from-to)	279-303
Number of pages	25
Journal	Israel Journal of Mathematics
Volume	173
Issue number	1
DOIs	https://doi.org/10.1007/s11856-009-0092-z
Publication status	Published - Jan 2009

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abstract = "We develop variational formulas for certain Neumann and Green functions of multiply connected planar domains, valid for any smooth homotopy of the boundary. The modified Neumann and Green functions under consideration arise in the study of holomorphic functions with single-valued primitives. {\textcopyright} Hebrew University Magnes Press 2009.",

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AB - We develop variational formulas for certain Neumann and Green functions of multiply connected planar domains, valid for any smooth homotopy of the boundary. The modified Neumann and Green functions under consideration arise in the study of holomorphic functions with single-valued primitives. © Hebrew University Magnes Press 2009.

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Variation of Neumann and Green functions under homotopies of the boundary

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