On The Intensity Of Total Scattering Of X-Rays By Gases I by Woo Y. H.

By Woo Y. H.

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R EFERENCES [1] M C K EAN , Fredholm determinants and the Camassa-Holm hierarchy, Comm. Pure Appl. 5, 638–680. Reporter: Carlheinz Kneisel 292 Oberwolfach Report 5/2004 Participants Dr. David Ambrose Dr. fr Courant Institute of Mathematical Sciences New York University 251, Mercer Street New York, NY 10012-1110 – USA Department de Mathematiques UFR de Sciences et Techniques Universite de Franche-Comte 16, route de Gray F-25000 Besancon Prof. Dr. Christer Bennewitz Prof. Dr. no Dept. of Mathematics University of Lund Box 118 S-221 00 Lund Dept.

E. K ENIG AND K. K OENIG , On the local well-posedness of the Benjamin-Ono and modified BenjaminOno equations, Preprint (2003). E. K ENIG , G. P ONCE AND L. V EGA , Well-posedness of the initial value problem for the Korteweg-de Vries equation, J. Amer. Math. Soc. 4 (2) (1991), 323-347. E. K ENIG , G. P ONCE AND L. V EGA , Oscillatory integrals and regularity of dispersives equations, Indiana Univ. Mat. J. 40 (1) (1991), 32-69. E. K ENIG , G. P ONCE AND , L. V EGA , Well-posedness and scattering results for the generalized Korteweg-de Vries equation via contraction principle.

6] H. Okamoto, Uniqueness of Crapper’s pure capillary waves of permanent shape, submitted to J. Math. F. Toland, The Peierls-Nabarro and Benjamin-Ono equations, J. Func. , vol. 145, (1997), 136–150. On the spectral problem associated with the Camassa-Holm equation C HRISTER B ENNEWITZ I NTRODUCTION Associated with the Camassa-Holm (CH) equation (see [1]) ut − utxx + 3uux + 2κux = 2ux uxx + uuxxx, where x ∈ R, t ≥ 0 and κ is a parameter, there is the spectral problem (1) −y + 14 y = λ(κ + w(·, t))y, where w = u−uxx and t is viewed as a parameter.

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