KdV-KSV方程的初边值问题

Initial Boundary Value Problems for KdV-KSV Equation

本文证明了KdV－KSV方程的周期边值问题和Cauchy问题广义解和古典解的整体存在性、正则性及唯一性．

In this paper, we prove the existence, regularity and uniqueness of generalized solutions and smooth solutions of perodic boundary problem and Cauchy problem for KdV-KSV equations.