一类波动方程组的初边值问题(英文)

Initial Boundary Value Problem for one Class of System of Wave Equations

本文主要讨论R^n中区域Ω上的广义BBM方程组的初边值问题,通过引入强解的概念和应用不动点原理,得到了该问题强解之存在与唯一性.文中亦讨论了解的正则性.

This paper considers the initial boundary value problem for the system of generalized GBBM equation in Ω(?)R^n. By introducing a concept of solution and using the fixed point theorem, the global existence and uniqueness of the solutions to the initial boundary value problem are obtained. And the regularity of the solution is discussed.