一类具p-Laplace算子和变指数源双曲方程解的爆破
发布时间：2018-10-23 11:23
【摘要】：考虑具p-Laplace算子及变指数源双曲方程初边值问题解的爆破性质.利用构造能量泛函方法及凸方法,并结合Sobolev嵌入不等式,证明当1q~-q~+≤np-n+p/n-p(p2),初始能量为正数且初值适当大时,其解在有限时刻爆破.
[Abstract]:The blow-up properties of the initial boundary value problem for hyperbolic equation with p-Laplace operator and variable exponential source are considered. By using the method of constructing energy functional and convex method and Sobolev's embedding inequality, it is proved that when the initial energy is positive and the initial value is properly large, the solution of the solution will burst at finite time when 1q-q- 鈮，
本文编号：2289078
[Abstract]:The blow-up properties of the initial boundary value problem for hyperbolic equation with p-Laplace operator and variable exponential source are considered. By using the method of constructing energy functional and convex method and Sobolev's embedding inequality, it is proved that when the initial energy is positive and the initial value is properly large, the solution of the solution will burst at finite time when 1q-q- 鈮，
本文编号：2289078
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