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Nonlocal Boundary-Value Problems for Elliptic Systems in Angles

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Abstract

In this paper we consider elliptic systems in plane angle with nonlocal boundary conditions. We prove the existence and uniqueness of the solution in weighted space. For a proof, we study a system of ordinary differential equations with a parameter and nonlocal boundary conditions.

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REFERENCES

  1. Kondra'ev V. A., “Boundary-value problems for elliptic equations in domains with conical or angular points,” Trudy Mos. Mat. Ob-va, 16, 209–292 (1967).

    Google Scholar 

  2. Skubachevskii A. L., “Elliptic problems with nonlocal conditions near the boundary,” Mat. Sb., 129 (171), No. 2, 279–302 (1986).

    Google Scholar 

  3. Skubachevskii A. L., “Model nonlocal problems for elliptic equations in dihedral angles,” Differents. Uravn., 26, No. 1, 119–131 (1990).

    Google Scholar 

  4. Skubachevskii A. L., “Truncation-function method in the theory of nonlocal problems,” Differents. Uravn., 27, No. 2, 128–139 (1991).

    Google Scholar 

  5. Agranovich M. A. and Vishik M. I., “Elliptic problems with a parameter and parabolic problems of general type,” Uspekhi Mat. Nauk, 19, No. 3, 53–161 (1964).

    Google Scholar 

  6. Ladyzhenskaya O. A. and Ural'tseva N. N., Linear and Quasilinear Elliptic Equations, Academic Press, New York, London (1968).

    Google Scholar 

  7. Krein S. G., Linear Equations in Banach Spaces, Birkhäuser, Boston (1982).

    Google Scholar 

  8. Blekher P. M., “Operators depending meromorphically on a parameter,” Vestnik Mos. Univ., Ser. I, Mat., Mekh., No. 5, 30–36 (1969).

    Google Scholar 

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Skubachevskii, A.L. Nonlocal Boundary-Value Problems for Elliptic Systems in Angles. Journal of Mathematical Sciences 114, 1561–1570 (2003). https://doi.org/10.1023/A:1022217331875

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  • DOI: https://doi.org/10.1023/A:1022217331875

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