On a Generalized Reflection Law for Functions Satisfying the Helmholtz Equation

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dc.contributor.authorAberra, Dawit
dc.date.accessioned2019-05-30T18:16:29Z
dc.date.available2019-05-30T18:16:29Z
dc.date.issued1999-06-04
dc.description.abstractWe investigate a generalized point to point reflection law for the solutions of the Helmholtz equation in two independent variables, obtaining results that include some previously known results of Khavinson and Shapiro as special cases. As a consequence, we obtain partial negative answers to the "point to compact set reflection'' conjecture suggested by Garabedian and others.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAberra, D. (1999). On a generalized reflection law for functions satisfying the Helmholtz equation. <i>Electronic Journal of Differential Equations, 1999</i>(20), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/8213
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectReflection law
dc.subjectHelmholtz operator
dc.titleOn a Generalized Reflection Law for Functions Satisfying the Helmholtz Equation
dc.typeArticle

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