Well-posedness of an elliptic equation with involution
Allaberen Ashyralyev, Abdizhahan Manapuly Sarsenbi · DOAJ (DOAJ: Directory of Open Access Journals) · 2015
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.