The Gevrey boundary value problems are studied on the base of the theory of integral equations with the Cauchy kernel. As is known, the Hölder classes of solutions to forward-backward parabolic equations essentially depend on the gluing conditions and the Hölder exponent. Our main result is the proof of unique solvability of the Gevrey boundary value problems for equations of the forth and third orders.

Topics
Integral equations, Algebraic geometry
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