Bitsadze–Samarskii problem for parabolic systems with Dini continuous coefficients
Е. А. БадеркоFaculty of Mechanics and Mathematics, Moscow State University, Moscow, Russian FederationМ. Ф. ЧереповаNational Research University “Moscow Power Engineering Institute”, Moscow, Russian Federation
2018en
ABI
Abstract
We consider a nonlocal initial-boundary value problem of the Bitsadze–Samarskii type for spatially one-dimensional parabolic second-order systems with Dini continuous coefficients in a domain with nonsmooth lateral boundaries. By the boundary integral equations method we construct a classical solution of this problem. The smoothness of the solution is studied.
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Cited by 60 references