论文信息 - Saddle points and instability of nonlinear hyperbolic equations

Saddle points and instability of nonlinear hyperbolic equations

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.

D. Sattinger | L. Payne

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