一類具p-Laplace算子和變指數(shù)源雙曲方程解的爆破
發(fā)布時間：2018-10-23 11:23
【摘要】：考慮具p-Laplace算子及變指數(shù)源雙曲方程初邊值問題解的爆破性質(zhì).利用構(gòu)造能量泛函方法及凸方法,并結(jié)合Sobolev嵌入不等式,證明當(dāng)1q~-q~+≤np-n+p/n-p(p2),初始能量為正數(shù)且初值適當(dāng)大時,其解在有限時刻爆破.
[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，
本文編號：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，
本文編號：2289078
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