Asymptotic estimates of wave functions and the existence of wave operators
✍ Scribed by Krešimir Veselić; Joachim Weidmann
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 709 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
dn u + k cn u A . (dn u + k cn u)~'", A . ( d n u -k c n u d n u -k c n u the expansions for A (u) and A (u) being suitable for ~-dnu+(:nu i I > -; d n u h c c n u 3c B.(-. dn u ~-+ k cn -) u d n u -k c n u the expansions for H [ x (u)] and B [ z (u)] being suitable for -~ B . -\_ \_ ~ , -( dn uk cn
Two simple pairs of asymptotic expansions in terms of Hermite functions are obtained for the'solutions of the ellipsoidal wave equation.
I t is shown that a simple pair of asymptotic expansions exists for solutions of the ellipsoidal wave equation. An asymptotic expansion for t,he characteristic numbers is also obtained.