二阶双曲型方程的斜微商边值问题  

Oblique Derivative Boundary Value Problems for Quasilinear Hyperbolic Equations of Second Order

作　　者：闻国椿[1] 

机构地区：[1]北京大学数学系

出　　处：《烟台大学学报（自然科学与工程版）》1998年第4期235-242,共8页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金

摘　　要：主要把二阶线性与非线性双曲型方程化为复形式，然后证明某些二阶双曲型复方程解的存在唯一性定理，并给出解的估计式．In this paper,the oblique derivative boundary value problems for quasilinear hyperbolic equations of second order in a simply connected domain are discussed. We first reduce the hyperbolic equations to the complex form,afterwards by using the successive iteration,the existence and uniqueness of solutions for the above problem are proved.Finally,we give a priori estimates of solutions for the equations.

关 键 词：双曲型方程 斜微商问题 解 先验估计 边值问题 

分 类 号：O175.27[理学—数学]