On the solvability of nonlocal boundary value problem for the Helmholtz equation with the equality of flows at the part of the boundary and its conjugated problem

Author: Moiseev E. I.  

Publisher: Taylor & Francis Ltd

ISSN: 1065-2469

Source: Integral Transforms and Special Functions, Vol.21, Iss.12, 2010-12, pp. : 897-906

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Abstract

The nonlocal boundary value problem for the Helmholtz operator in the circular sector with the equality of flows on the radii and with the equality to null solution at one of the radius is considered. The conjugated problem is also considered. The uniqueness of the solution of these problems is proved and the solution is built by the spectral method.