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math-ph2007★ 2 cited
High frequency limit of the Transport Cross Section and boundedness of the Total Cross Section in scattering by an obstacle with impedance boundary conditions
A. I. Aleksenko, J. P. Cruz, E. L. Lakshtanov
The scalar scattering of the plane wave by a strictly convex obstacle with impedance boundary conditions is considered. The uniform boundedness of the Total Cross Section for all v…
math-ph2007
Explicit representation of Green function for 3Dimensional exterior Helmholtz equation
P. Cruz, E. L. Lakshtanov
We have constructed a sequence of solutions of the Helmholtz equation forming an orthogonal sequence on a given surface. Coefficients of these functions depend on an explicit algeb…