On a Generalized Reflection Law for Functions Satisfying the Helmholtz Equation
Date
1999-06-04
Authors
Aberra, Dawit
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We 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.
Description
Keywords
Reflection law, Helmholtz operator
Citation
Aberra, 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.
Rights
Attribution 4.0 International