线性双曲方程适定边值问题

Well posed boundary value probems on the linear hyperbolic equations

证明了双曲方程ｕｘｙ＝ｆ（ｘ，ｙ）在区域Ω＝｛（ｘ，ｙ）：０＜ｆ１（ｘ）＜ｙ＜ｆ２（ｘ），０＜ｘ＜Ａ｝内的边值问题的适定性。

The boundary valued problems of the linear hyperbolic equation u xy =f(x,y) in domain Ω={(x,y):0<f 1(x)<y<f 2(x),0<x<A} to be well posed is proved.Furthermore,a solution expression is given.