First mixed problem for a parabolic difference-differential equation |
| |
Authors: | A. L. Skubachevskii R. V. Shamin |
| |
Affiliation: | (1) Moscow State Aviation Institute, Moscow, USSR |
| |
Abstract: | The first mixed boundary value problem for a parabolic difference-differential equation with shifts with respect to the spatial variables is considered. The unique solvability of this problem and the smoothness of generalized solutions in some cylindrical subdomains are established. It is shown that the smoothness of generalized solutions can be violated on the interfaces of neighboring subdomains. Translated fromMatematicheskie Zametki, Vol. 66, No. 1, pp. 145–153, July, 1999. |
| |
Keywords: | parabolic difference-differential equation strongly elliptic operator Sobolev spaces |
本文献已被 SpringerLink 等数据库收录! |