【摘要】 对于病态方程K（x）u_xx=u_tt,0<x<1,t≥0,其中K（x）≥α≥0,u（0,t）=g,u_x（0,t）=0,利用小波伽辽金方法和Meyer多分辨分析将其转化为良态方程的基础上,给出方程的准确解与它在V_j上和定义在V_j+1空间的逼近问题的的正交投影之间的误差估计.更多还原

【Abstract】 Ill-posed problem K（x）u_xx=u_tt,0<x<1,t≥0,where K（x）is bounded below by a positive constant a,u（0,t）=g,u_x（0,t）=0.Utilizing a wavelet Galerkin method with the Meyer multi-resolution analysis,the ill-posed problem was transformed into well-posed problems.At the same time,an estimate was derived for the difference between the exact solution to the problem and the orthogonal projection onto V_j of the solution of the approximation problem defined in V_j+1.更多还原