Explicit Solutions of Integral Equations and Relations for Potentials
- 18 Downloads
Explicit solutions are obtained for integral equations to which the skew derivative problem for the Laplace equation outside open curves on the plane is reduced. Moreover, explicit relations are obtained for harmonic potentials whose density is prescribed on open curves on the plane. The results can be used to test numerical algorithms in boundary value problems outside open curves on the plane.
Unable to display preview. Download preview PDF.
- 6.Muskhelishvili, N.I., Singulyarnye integral’nye uravneniya (Singular Integral Equations), Moscow: Nauka, 1968.Google Scholar
- 7.Krutitskii, P.A., Dirichlet’s problem for the Helmholtz equation outside cuts in a plane, Comput. Math. Math. Phys., 1994, vol. 34, no. 8–9, pp. 1073–1090.Google Scholar