论文标题
半线上的Majda-Biello系统的适应性良好
Well-posedness for the Majda-Biello system on the half line
论文作者
论文摘要
我们研究了在右半线上构成的Majda-Biello系统的初始价值问题。我们证明了半线上的本地良好性,与OH(2008)建立的实际线路上的本地理论相匹配。该方法将Bona-Sun-Zhang的Laplace Transform方法与Colliander和Kenig在KDV Half Line初始边界值问题上的工作中的估计值结合在一起。
We study the initial-boundary value problem for the Majda-Biello system posed on the right half line. We prove local well-posedness on the half line, matching the local theory on the real line established by Oh (2008). The approach combines the Laplace transform method of Bona-Sun-Zhang with adapted estimates from the work of Colliander and Kenig on the KdV half line initial-boundary value problem.