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Nonlinear interactions and scattering of space charge waves in sillenites

✍ Scribed by M.P. Petrov; V.V. Bryksin; S. Wevering; E. Krätzig

Book ID
106031517
Publisher
Springer
Year
2001
Tongue
English
Weight
223 KB
Volume
73
Category
Article
ISSN
0721-7269

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✍ Kunio Hidano 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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)