IN the present paper the asymptotic behaviour of Green's function is studied for the wave equation [Δ + k2n2(x)]G = δ(x - x0), G = O( 1 |x| (N - 1> 2), ∂G ∂|x| + ik √EG = o( 1 |x| (N - 1) 2), (1) x = (x1, ..., xN), E = lim |x|→+∞ n2(x), n2 = E - V(x) > 0 in an N-dimensional space as k → + ∞. An asymptotic function will be constructed subject to the following conditions on the function n2(x). © 1970.
|Original language||American English|
|Number of pages||263|
|Journal||USSR Computational Mathematics and Mathematical Physics|
|State||Published - 1 Jan 1968|