On a nonclassical fractional boundary-value problem for the Laplace operator |
| |
| Authors: | Mykola Krasnoschok Nataliya Vasylyeva |
| |
| Institution: | Institute of Applied Mathematics and Mechanics of NAS of Ukraine, R. Luxemburg, str. 74, 83114 Donetsk, Ukraine |
| |
| Abstract: | In this paper we consider a boundary-value problem for the Poisson equation with a boundary condition comprising the fractional derivative in time and the right-hand sides dependent on time. We prove the one-valued solvability of this problem, and provide the coercive estimates of the solution. |
| |
| Keywords: | primary 35R11 35C15 secondary 35B65 35R35 |
| 本文献已被 ScienceDirect 等数据库收录！ |
