| Subject |
Local and nonlocal boundary value problems for partial differential equations |
| Title |
Differentiable solutions of the second order elliptic equation |
| Author(s) |
Mukhtarbay Otelbaev, Kordan Ospanov |
| Keywords |
elliptic equation, intermediate coefficient, Lorentz space |
| Abstract |
We study the second order elliptic equation with discontinuous intermediate coefficients. Suppose that the variable coefficients and the right-hand side of this equation belong to some space M. We find the necessary and sufficient conditions on M for continuous differentiability of the solution to equation, when M is a space of type F or a symmetric space, or one of a Sobolev and Besov space. |
