A boundary-value problem for parabolic equations with general nonlocal conditions
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Abstract
We study a boundary-value problem with general two-point conditions with respect to the time coordinate, and periodic conditions on the spatial coordinates for Shilov-parabolic equations with constant coefficients. We construct the solution in the form of a Fourier series. We establish conditions for existence and uniqueness of a classical solution of the problem. We prove quantitative theorems on a lower bound for the small denominators that arise in solving the problem.
Keywords
Fourier Fourier Series Parabolic Equation Classical Solution Constant Coefficient
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Literature Cited
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© Plenum Publishing Corporation 1996