Well-posedness of an elliptic equation with involution
Allaberen Ashyralyev
Fatih Univ., Istanbul, Turkey
Abdizhahan Sarsenbi
M. Auezov SKS Univ, Kazakhstan
2015en
ABI
Abstract
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.
Citations and references
Cited by 20 references