Geodesic
On a generalized reflection law for functions satisfying the Helmholtz equation
Electronic journal of differential equations, Tome 1999 (1999)
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.
Classification : 31A05, 31A35, 31B05
Keywords: reflection law, Helmholtz operator 
@article{EJDE_1999__1999__a25,
     author = {Aberra,  Dawit},
     title = {On a generalized reflection law for functions satisfying the {Helmholtz} equation},
     journal = {Electronic journal of differential equations},
     year = {1999},
     volume = {1999},
     zbl = {0921.31001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a25/}
}
TY  - JOUR
AU  - Aberra,  Dawit
TI  - On a generalized reflection law for functions satisfying the Helmholtz equation
JO  - Electronic journal of differential equations
PY  - 1999
VL  - 1999
UR  - http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a25/
LA  - en
ID  - EJDE_1999__1999__a25
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%0 Journal Article
%A Aberra,  Dawit
%T On a generalized reflection law for functions satisfying the Helmholtz equation
%J Electronic journal of differential equations
%D 1999
%V 1999
%U http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a25/
%G en
%F EJDE_1999__1999__a25
Aberra,  Dawit. On a generalized reflection law for functions satisfying the Helmholtz equation. Electronic journal of differential equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a25/