Saddle points and instability of nonlinear hyperbolic equations |
| |
Authors: | L E Payne D H Sattinger |
| |
Institution: | 1. Cornell University, USA 2. University of Minnesota, USA
|
| |
Abstract: | A number of authors have investigated conditions under which weak solutions of the initial-boundary value problem for the nonlinear wave equation will blow up in a finite time. For certain classes of nonlinearities sharp results are derived in this paper. Extensions to parabolic and to abstract operator equations are also given. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |