楔形域上Modified-Helmholtz方程的混合边值问题  

Mixed Boundary Value Problem for the Modified Helmholtz Equation in a Wedge

作　　者：黄民海[1] 

机构地区：[1]肇庆学院数学与信息科学学院,广东肇庆526061

出　　处：《肇庆学院学报》2011年第5期1-4,共4页Journal of Zhaoqing University

摘　　要：考虑一类楔形域上Modified-Helmholtz方程的混合边值问题.利用新型的Fokas谱变换方法,将问题转化为求解一类Riemann-Hilbert边值问题,从而得到了方程解的封闭积分表达式.A spectral transform method for solving initial boundary-value problems for linear and for integral nonlinear PDEs has been introduced recently by Fokas.By using this method,the mixed boundary value problem for the modified Helmholtz equation in a wedge is discussed.The problem is changed to solve a Riemann-Hilbert boundary value problem.Finally,the integral representation of the solution is obtained in closed form.

关 键 词：Modified-Helmholtz方程 谱变换 RIEMANN-HILBERT边值问题 

分 类 号：O175.2[理学—数学] O175.8[理学—基础数学]