A sharpening of Maslov’s method for finding asymptotic solutions
Arthur D. Gorman, Robert Wells · Quarterly of Applied Mathematics · 1981
By substituting into (4) and notingand taking the surface integral over a sufficiently large radius so that it vanishes, (4) becomes J exp{ir(x • p -S(p))}h^-D • \ pA -AVp • D + 2p ■ VXA + \XA j dp = 0( t_co).( 6) 4. Eq. ( 6) is a requirement that the asymptotic series in t of the integral should be trivial.We may achieve this by requiring that