摘要
双曲方程边值问题的适定性取决于边界性状。本文给出一维波动方程的“第一边值问题”在一类区域中解的表达式,进而证明了解的存在性和唯一性。
In this paper we give seriel solutions of boundary-valued problems concern- ing the one-dimensional wave equation u_(tt)-c^2u_(xx)=0,with boundaries x=f(t) satisfying the condition|f′(t)|<c,and prove the problems to be well-posed。
出处
《西北师范大学学报（自然科学版）》
CAS
1989年第2期1-4,共4页
Journal of Northwest Normal University(Natural Science)
关键词
波动方程
适定
边值问题
弱解
weak solution
contracting mapping theorem
Lipschitzian continuous
