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Well-posedness of an elliptic equation with involution

Allaberen Ashyralyev Fatih Univ., Istanbul, Turkey Abdizhahan Sarsenbi M. Auezov SKS Univ, Kazakhstan
2015en
ABI

Аннотация

In this article, we study a mixed problem for an elliptic equation with involution. This problem is reduced to boundary value problem for the abstract elliptic equation in a Hilbert space with a self-adjoint positive definite operator. Operator tools permits us to obtain stability and coercive stability estimates in Holder norms, in t, for the solution.

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