论文标题
修改后的korteweg-de vries方程的自相似解决方案的爆炸时扰动
Perturbation at blow-up time of self-similar solutions for the modified Korteweg-de Vries equation
论文作者
论文摘要
我们证明了线上修改的KDV方程的自相似爆炸的第一个稳定性结果。更确切地说，给定一个自相似的解决方案和足够小的规则轮廓，有一个独特的全局解决方案，其表现为t趋向于0作为自相似解决方案的总和和光滑的扰动。
We prove a first stability result of self-similar blow-up for the modified KdV equation on the line. More precisely, given a self-similar solution and a sufficiently small regular profile, there is a unique global solution which behaves at t tends to 0 as the sum of the self-similar solution and the smooth perturbation.
