On estimates for solutions of elliptic boundary value problems in a layer |
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Authors: | V A Nikishkin |
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Institution: | 1.Statistics, and Computer Science,Moscow State University of Economics,Moscow,Russia |
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Abstract: | We consider boundary value problems for elliptic operators with constant coefficients in a layer, i.e., in a domain between
two parallel planes. We assume that the Lopatinskii condition and the condition of the unique solvability of an auxiliary
problem for an ordinary differential operator are satisfied. We prove theorems on the solvability and smoothness of solutions
in Sobolev spaces with weight of exponential type. |
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Keywords: | |
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