Blow-up of Solution of a Class of Quasilinear Evolution Equation
Blow-up of Solution of a Class of Quasilinear Evolution Equation
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发表时间：
2000
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通讯作者：
Yuxi Tao
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作者：
Yuxi Tao
利用特征函数方法研究了一类拟线性发展方程(包括非线性拟双曲型方程和强阻尼型非线性波动方程)初边值问题解的整体不存在性和爆破，证明了在一定条件下解一定在有限时间内爆破。
By using eigenfunction method we studied the global nonexistence and blow_up of solution of the initial_boundary value problem for a class of quasilinear evolution equation (including nonlinear psedohyperbolic equation and strongly damped nonlinear wave equation),and proved that under some conditions the solution must blow_up in a finite time.