论文标题
关于溶液的局部能量衰减
On Local Energy decay for solution of the Benjamin-Ono equation
论文作者
论文摘要
我们考虑了Benjamin-Ono方程的大型解决方案的长时间动力学。使用病毒技术，我们描述了空间的区域，其中合适的Sobolev空间中的每个解决方案都必须沿着时序列衰减为零。此外，在外部区域的情况下，我们证明了任何时间序列的完全衰减。这里未处理的其余区域本质上是强大的分散和孤儿区域。
We consider the long time dynamics of large solutions to the Benjamin-Ono equation. Using virial techniques, we describe regions of space where every solution in a suitable Sobolev space must decay to zero along sequences of times. Moreover, in the case of exterior regions, we prove complete decay for any sequence of times. The remaining regions not treated here are essentially the strong dispersion and soliton regions.
