Geodesic
The Dirichlet Problem in the 2D Stationary Anisotropic Thermoelasticity
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 5 (2010), pp. 64-71

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In this article the Dirichlet problem for an anisotropic thermoelastic media is studied. It means, by definition, that a displacement vector and a stationary temperature are assigned at a boundary. This boundary value problem is reduced to a system of integral equations. Kernels of integral operators, entering into this system, are weakly regular in a bounded region with a Lyapunov boundary and Hölder continuous boundary data. This boundary value problem keeps up the property of Fredholm solvability if a region and boundary data have weaker properties of smoothness.
Keywords: integral equations, anisotropy, elasticity. 
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     author = {Yu. A. Bogan},
     title = {The {Dirichlet} {Problem} in the {2D} {Stationary} {Anisotropic} {Thermoelasticity}},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {64--71},
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     year = {2010},
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     url = {http://geodesic.mathdoc.fr/item/VSGTU_2010_5_a6/}
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Yu. A. Bogan. The Dirichlet Problem in the 2D Stationary Anisotropic Thermoelasticity. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 5 (2010), pp. 64-71. http://geodesic.mathdoc.fr/item/VSGTU_2010_5_a6/