Geodesic
On a potential problem with incident wave as a field source
Applications of Mathematics, Tome 33 (1988) no. 6, pp. 443-455.

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A field source which is given by an incident wave in a neighborhood of an inhomogeneous body (in $\bold R^2) zields an integral equation on the boundary of $\Omega$. This integral equation may serve as a boundary condition for the field equation on $\Omega$. If $\Omega$ is a circle then the existence and uniqueness of the new boundary value problem is proved and an algorithm for the approximate solution is proposed.
DOI : 10.21136/AM.1988.104323
Classification : 31A30, 35J05, 35J15, 35J25, 35J67, 65N30, 78A20, 78A45
Keywords: diffraction; wave scattering 
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Drápalík, Vladimír; Janovský, Vladimír. On a potential problem with incident wave as a field source. Applications of Mathematics, Tome 33 (1988) no. 6, pp. 443-455. doi : 10.21136/AM.1988.104323. http://geodesic.mathdoc.fr/articles/10.21136/AM.1988.104323/

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