The Solution Spaces for Integral Equations of the Scattering Theory by Ergun Ar
نویسنده
چکیده
1. The statement of the problem. Let B denote the boundary of a smooth, closed and bounded surface in £ , and V the exterior of B. Erect a spherical polar coordinate system with origin interior to B; and denote by r a point (r, 0, ) in V and by TB a point (r#, 6B, 4>B) on B. Further let v be a scalar wave function for the exterior V, i.e., (a) v(r) is of class C, r £ 7 = VVJB, (b) ( V 2 +^ 2 ) ^ ( r )=0 , r £ F ; k, the wave number, is assumed to be complex, (c) r(dv/dr—ikv) =tf(l), r—»<*>, uniformly in 0 and . Then, we obtain the equation
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تاریخ انتشار 2007