Borys V. Bazaliy, Nataliya Vasylyeva
Abstract:
We study the Dirichlet initial problem for the heat equation by
the Fourier-Bessel method in a plane corner. We prove classical
solvability for the problem in weighted H\"older spaces.
Submitted September 11, 2009. Published June 30, 2010.
Math Subject Classifications: 35K20, 35K365.
Key Words: Initial boundary value problems; nonsmooth domains;
weighted Holder spaces; trigonometric series.
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Borys V. Bazaliy Institute of Applied Mathematics and Mechanics of NAS of Ukraine R. Luxemburg, str. 74, 83114 Donetsk, Ukraine email: bazaliy@iamm.ac.donetsk.ua |
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Nataliya Vasylyeva Institute of Applied Mathematics and Mechanics of NAS of Ukraine R. Luxemburg, str. 74, 83114 Donetsk, Ukraine email: vasylyeva@iamm.ac.donetsk.ua |
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