具广义非线性源的波动方程的高能爆破

Finite Time Blow up of Solutions for Nonlinear Wave Equation with General Nonlinearity for Arbitrarily Positive Initial Energy

研究一类具广义非线性源的非线性波动方程的初边值问题在高初始能级状态下解的有限时间爆破.利用经典的凹函数方法找到了导致该问题具任意正初始能级的解有限时间爆破的初值.

This paper investigates the finite time blow up of solutions for the initial boundary value problem of a class of some nonlinear wave equations with general nonlinearity at high initial energy level.By employing the classical concavity method,we establish some new sufficient conditions on initial data such that the solution with arbitrarily positive initial energy blows up in finite time.