WELL-POSEDNESS OF AN ELLIPTIC EQUATION WITH INVOLUTION

Allaberen Ashyralyev, Abdizhahan Sarsenbi
2015 Electronic Journal of Differential Equations   unpublished
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 Hölder norms, in t, for the solution.
fatcat:h772r2afjjfknj7iz6p674uwom