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Nonlinear hydrodynamic VLF wave scattering in the earth's magnetosphere

โœ Scribed by V.Yu. Trakhtengerts


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
561 KB
Volume
21
Category
Article
ISSN
0032-0633

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โœ Kunio Hidano ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 242 KB

The theory of scattering is studied for the nonlinear wave equation iu+|u| r -1 u=0 in space dimensions n=3, 4. We give a new proof of the asymptotic completeness in the finite energy and conformal charge space for n=r=3. Our method is strong enough to deal with the subconformal power r < 1+4/(n -1)