The Gevrey boundary value problems are studied for mixed type equations. We rely on 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 gluing conditions and a noninteger Hölder exponent of the space. The unique solvability of the Gevrey boundary value problems for equations of the second and third orders is proven.

Topics
Integral equations, Algebraic geometry
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