The Local Weak Solution Of A Class Of Nonlinear Wave Equation And Its Perturbed Problem

Nonlinear developing equation is a kind of representation of many nonlinear problems in mathematics. For example fourth-order nonlinear wave equation is put forward in elasticity-plastic mechanics; The IMBq equations is put forward when nonlinear wave transmitting is studied; In addition, there is Kirchhoff equation of describing nonlinear viscidity-elasticity beam'svibration. These nonlinear developing equations have been attached highly importance to many mathematicians. The existence of the whole classical solution of nonlinear developing equation have held many results, and developed many effective methods, but because developing equation involved many aspects, and have variety characteristic, at the same time the existence of the whole classical solution is received only when the situation is very particular. Many results are always aimed at some specifically model, the problem on the fixed solution of specific equation have not come into being a commonly theory. Since 1990's years, there are new evolvements for the...