论文标题
Fornberg-Whitham方程的规范通货膨胀和不良性
Norm inflation and ill-posedness for the Fornberg-Whitham equation
论文作者
论文摘要
在本文中，我们证明了fornberg-whitham方程的库奇问题在$ b^s_ {p，r}（\ r}（\ r）中，$（s，p，p，r）\ in（1,1+ \ frac1p）\ times [2，\ frac1p）\ times [2，\ frac1p）\ times [2，\ frac1p）\ times \ times \ times [1 ,, \ infty] $（\ in） \ {1 \} \ times [2，\ infty）\ times [1,2] $，通过显示解决方案的范数通货膨胀现象，以获取一些特殊的初始数据。
In this paper, we prove that the Cauchy problem for the Fornberg-Whitham equation is not locally well-posed in $B^s_{p,r}(\R)$ with $(s,p,r)\in (1,1+\frac1p)\times[2,\infty)\times [1,\infty]$ or $(s,p,r)\in \{1\}\times[2,\infty)\times [1,2]$ by showing norm inflation phenomena of the solution for some special initial data.
