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Scattering Problem for the Nonlinear Wave Equation in the Finite Energy and Conformal Charge Space

✍ Scribed by Kunio Hidano

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 242 KB
Volume: 187
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2001.3801

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✦ Synopsis

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). Thus we extend earlier results due to Baez-Segal-Zhou, Ginibre-Velo and Strauss for this equation.

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