Integral estimates of the solutions to the Helmholtz equation in unbounded domains

被引:0
作者
Filinovskii, AV [1 ]
机构
[1] NE BAUMAN MOSCOW STATE TECH UNIV,MOSCOW,RUSSIA
关键词
Helmholtz equation; boundary value problem; integral estimate; unbounded domain;
D O I
10.1007/BF02355086
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The following boundary value problem is studied: Delta v + omega(2)v = h(x), x is an element of Omega subset of R-n, n equal to or greater than 2, -infinity < omega < +infinity, v\Gamma = 0, Gamma partial derivative Omega; here the surface Gamma satisfies the condition (v, del phi(x))\(Gamma) equal to or less than 0, where phi(x) = Sigma(j=1)(n) alpha(j)x(j)(2), 0<alpha(1) equal to or less than...equal to or less than alpha(n)=1, and v is the outward (with respect to Omega) normal to Gamma.
引用
收藏
页码:635 / 643
页数:9
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