The mixed problem for the helmholtz equation in a multiply connected region

Computational Mathematics and Mathematical Physics

Volumn 36, Issue 8, 1996, Pages 1087-1095

  Krutitskii, P A ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000909419     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. VABISHCHEVICH P. N., GABOV S. A. and SHEVTSOV P. V., The angular potential for the operator Δ + c(x). Zh. Vychisl. Mat. Mat. Fiz. 19, 1162-1177, 1979.
2. KRUTITSKII P. A., Dirichlet's problem for the Helmholtz equation outside cuts in a plane. Zh. Vychisl. Mat. Mat. Fiz. 34, 1237-1258, 1994.
3. KRUTITSKII P. A., Neumann's problem for the Helmholtz equation outside cuts in the plane. Zh. Vychisl. Mat. Mat. Fiz. 34, 1652-1665, 1994.
4. WENDLAND W. L. and STEPHAN E. P., A hypersingular boundary integral method for 2-dimensional screen and crack problems. Arch. Ration. Mech. and Analys. 112, 363-390, 1990.
5. TUCHKIN Yu. A., Scattering of waves by an open cylindrical screen of arbitrary profile with Neumann boundary conditions. Dokl. Akad. Nauk SSSR 293, 343-345, 1987.
6. ZAKHAROV Ye. V. and SOBYANINA I. V., One-dimensional integro-differential equations of diffraction by screens. Zh. Vychisl. Mat. Mat. Fiz. 26, 632-636, 1986.
7. PANASYUK V. V., SAVRUK M. P. and NAZARCHUK Z. T., The Method of Singular Integral Equations in Two-Dimensional Diffraction Problems. Naukova Dumka, Kiev, 1984.
8. NAZARCHUK Z. T., Numerical Analysis of the Diffraction of Waves by Cylindrical Structures. Naukova Dumka, Kiev, 1989.
9. COLTON D. and KRESS R., Integral Equation Methods in Scattering Theory. Wiley, New York, 1983.
10. MUSKHELISHVILI N. I., Singular Integral Equations. Nauka, Moscow, 1968.
11. KREIN S. G., Functional Analysis. Nauka, Moscow, 1964.
12. KOLMOGOROV A. N. and FOMIN S. V., Elements of the Theory of Functions and Functional Analysis. Nauka, Moscow, 1972.