非线性发展方程解的破裂

BLOW-UP OF THE SOLUTIONS TO NONLINEAR EVOLUTION EQUATIONS

本文考虑一类非线性双曲方程和一类非线性抛物方程的初边值问题，在大初值情形，给出了其古典解在有限时间内破裂的条件。

In this paper,we considers the initial boundary value problems for a type of nonlinear hyperbolic equations and a type of nonlinear parabolic equations.In the case of the large initial value,the conditions for which the classical solutions to there problems blow up in the finite time.