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- W2914346032 abstract "We considered an elliptic second order system on the plane consisting of two equations with constant (and only leading) coefficients. An explicit representation of the general solution of this system is given via the so-called J-analytic functions. A classification of systems with respect to the Dirichlet problem is given. Explicit expressions for the generalized potentials of a double layer are derived and their applications to solution of the Dirichlet problem are described. The results are illustrated by the example of the Lame system of plane elasticity theory." @default.
- W2914346032 created "2019-02-21" @default.
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- W2914346032 date "2019-01-01" @default.
- W2914346032 modified "2023-09-25" @default.
- W2914346032 title "On Elliptic Systems of Two Equations on the Plane" @default.
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- W2914346032 doi "https://doi.org/10.1007/978-3-030-02650-9_14" @default.
- W2914346032 hasPublicationYear "2019" @default.
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