Field of potential in a compound rectangle containing a linear inclusion

Authors:
Yu. A. Melnikov, V. V. Loboda and V. B. Govorukha

Journal:
Quart. Appl. Math. **55** (1997), 299-311

MSC:
Primary 35J05; Secondary 35Q72, 73C35

DOI:
https://doi.org/10.1090/qam/1447578

MathSciNet review:
MR1447578

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References | Similar Articles | Additional Information

**[1]**S. Bergman and M. Schiffer,*Kernel Functions and Elliptic Differential Equations in Mathematical Physics*, Academic Press, Inc., New York, 1953 MR**0054140****[2]**B. A. Boley,*A method for the construction of Green's functions*, Quart. J. Appl. Math.**14**, 249-257 (1956) MR**0080250****[3]**I. M. Dolgova and Yu. A. Melnikov,*Construction of Green's functions and matrices for equations and systems of the elliptic type*, J. Appl. Math. and Mech.**42**, 695-700 (1978) (in Russian) MR**621205****[4]**S. P. Gavelya,*On one method of constructing Green's matrices for combined shells*, Reports of the Ukrainian Academy of Sciences Ser. A**12**, 1107-1111 (1969) (in Russian)**[5]**A. A. Korneiytchuk,*Quadrature formulas for singular integrals*, Numerical Methods for Differential and Integral Equations, and Quadrature Formulas, Nauka, Moscow, 1964, pp. 64-73 (in Russian)**[6]**V. V. Loboda,*Use of Gauss-Jacobi formula to a solution of singular integral equations*, Methods for Solution of Nonlinear Problems and Data Development, Dniepropetrovsk State University Publishers, Dniepropetrovsk, 1986, pp. 60-64 (in Russian) MR**971542****[7]**Yu. A. Melnikov,*Some applications of the Green's function method in mechanics*, Internat. J. Solids Structures**13**, 1045-1058 (1977) MR**0483910****[8]**Yu. A. Melnikov,*Green's functions and matrices for equations and systems of the elliptic type*, Dniepropetrovsk State University Publishers, Dniepropetrovsk, 1991 (in Russian)**[9]**N. I. Muskhelishvili,*Some Basic Problems in the Mathematical Theory of Elasticity*, Nordhoff Ltd., Groningen, 1953

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Additional Information

DOI:
https://doi.org/10.1090/qam/1447578

Article copyright:
© Copyright 1997
American Mathematical Society