Second derivatives of the volume potential and integral equations in electrodynamics. (English. Russian original) Zbl 1254.78015
Comput. Math. Model. 23, No. 2, 168-174 (2012); translation from Prikl. Mat. Inf. 37, 44-50 (2011).
Summary: The article examines the second derivatives of the volume potential whose principal value is determined by eliminating the singularity with a small parallelepiped. The results are applied to integral equations of electrodynamics in nonhomogeneous media.
MSC:
| 78A48 | Composite media; random media in optics and electromagnetic theory |
| 45E05 | Integral equations with kernels of Cauchy type |
References:
| [1] | A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Izd. MGU, Moscow (1999). · Zbl 0044.09302 |
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