从等离子体物理中提出的广义Korteweg-de Vries方程解的L^2一致稳定性(英文)

L 2 Uniform Stability of Solutions to a Generalized Korteweg-de Vries Equation Arising From Plasma Physics

本文研究由等离子体物理提出的广义ＫｄＶ方程的解的Ｌ２一致稳定性，讨论了这种方程的初值问题．首先建立了几个与通常能量估计不同的整体估计，随后证明了解的Ｌ２一致稳定性．

We are interested in L 2 υniform stability of solutions to a generalized Korteweg-de Vries equation arising from plasma physics. We study the initial value problem for this equation. We first establish several delicate global estimates which are different from usual energy estimates. Then we verify the L 2 uniform stability.