On the initial boundary-value problem for a nonlinear Sobolev-type equation with variable coefficient |
| |
Authors: | A I Aristov |
| |
Institution: | 1. OOO “Masterdata”, Moscow, Russia
|
| |
Abstract: | We study the initial boundary-value problem for a nonlinear Sobolev-type equation with variable coefficient. We obtain sufficient conditions for both global and local (in time) solvability. In the case of local (but not global) solvability, we obtain upper and lower bounds for the existence time of the solution in the form of explicit and quadrature formulas. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|