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Gevrey problem for parabolic equations with changing time direction. (English) Zbl 1112.35035

Summary: This article concerns parabolic equations with changing time direction and Gevrey’s boundary condition. Using expansion series and biorthogonal systems, we prove the existence of classical solutions.

MSC:

35C10 Series solutions to PDEs
35K05 Heat equation
35K20 Initial-boundary value problems for second-order parabolic equations
35M99 Partial differential equations of mixed type and mixed-type systems of partial differential equations
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