Allaberen Ashyralyev, Abdizhahan M. Sarsenbi
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.
Submitted July 25, 2015. Published November 11, 2015.
Math Subject Classifications: 35J15.
Key Words: Elliptic equation; Banach space; self-adjoint;
positive definite; stability estimate; involution.
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Allaberen Ashyralyev Department of Elementary Mathematics Education Fatih University Istanbul, Turkey email: aashyr@fatih.edu.tr | |
Abdizhahan M. Sarsenbi Department of Mathematical Methods and Modeling M. Auezov SKS University Shimkent, Kazakhstan email: abzhahan@gmail.com |
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