一类非线性抛物型方程的边界积分公式  

Boundary integral formulation for a class of nonlinear parabolic equations

作　　者：冀礼鹏[1] 李炳杰[1] 

机构地区：[1]空军工程大学电讯工程学院,陕西西安710077

出　　处：《空军工程大学学报（自然科学版）》2001年第1期92-94,共3页Journal of Air Force Engineering University(Natural Science Edition)

摘　　要：利用 Kirchhoff积分变换将二维非线性抛物型方程化为等价的线性形式 ,得到该方程的边界积分方程与边界变分方程。除了利用 lax- milgram定理证明变分方程解的唯一性外 。By the Kirchhoff integral transformation, a class of nonlinear parabolic equations can be converted to a class of linear one, A boundary integral equation for the linear one and a boundary variational formulation are presented. In addition to the indication of existence and uniqueness of the solution of this equation using lax milgram theorem, the Kirchhoff integral transformation in the nonlinear coefficient based on a set of discrete data is given by a piece wise linear polynomial.

关 键 词：Kirchhoff变换 边界分方程 边界变分方程 lax—milgram定理 

分 类 号：O241.8[理学—计算数学]