一类广义RLW方程的整体强解

The Global Strong Solutions for a Class of Generalized RLW Equation

本文考虑广义PLW方程ut-uxxt＋f（X）x=h1（x，t）＋h2（x，t）u＋h3（x，t）ux＋buxx的初边值问题，周期问题和初值问题。在f，h1，h2，h3及初值U0满足一定条件下，得到了上述各类定解问题整体强解的存在唯一性。

In tkis paper we consider the initial - boundary value problem,the periodic problem and initial value probem for the gcncralized RLW equation ut-uxxt+ f (u) = h1(x. t) + h2 (x,t)u +h3 (x,t)ux+buuxx Suppose that,f,h1 h2,h3,and initial valuc u0 (x) satisfy somc conditions, we obtain the existence and uniqueness of the global strong solutions.