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math.AP2022
Model BVP problem for the Helmhotz equation in a nonconvex angle with periodic boundary data
A. Merzon, P. Zhevandrov, M. I. Romero Rodríguez +1
In the presented work, we solve the Dirichlet boundary problem for the Helmholtz equation in an exterior angle with periodic boundary data. We prove the existence and uniqueness of…
math.AP2014
An explicit formula for the nonstationary diffracted wave scattered on a NN-wedge
Anel Esquivel Navarrete, Anatoli Merzon
We consider two dimensional nonstationary scattering of plane waves by a NN-wedge. We prove the existence and uniqueness of a solution to the corresponding mixed problem and we giv…