LOWER REGULARITY SOLUTIONS OF A CLASS OF NON-HOMOGENEOUS BOUNDARY VALUE PROBLEMS OF THE KORTEWEG-DE VRIES EQUATION ON A FINITE DOMAIN

作者：Jia Chaohua^*; Rivas Ivonne; Zhang Bing Yu

来源：Advances in Differential Equations, 2014, 19(5-6): 559-584.

In this paper, we study an initial-boundary value problem of the Korteweg-de Vries equation posed on a bounded interval (0, L) with nonhomogeneous boundary conditions, which is known to be locally well-posed in the Sobolev space H-s(0, L) with s %26gt; -3/4. Taking the advantage of the hidden dissipative mechanism and the sharp trace regularities of its solutions, we show that the problem is locally well-posed in the space H-s (0, L) with s %26gt; -1.

• 出版日期2014-6
• 单位北京航空航天大学