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Energy Scattering for Nonlinear Klein–Gordon and Schrödinger Equations in Spatial Dimensions 1 and 2

✍ Scribed by Kenji Nakanishi

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
250 KB
Volume
169
Category
Article
ISSN
0022-1236

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✦ Synopsis

dedicated to professors jean ginibre and walter a. strauss on their sixtieth birthdays

We show that when n=1 and 2, the scattering operators are well-defined in the whole energy space for nonlinear Klein Gordon and Schro dinger equations in R 1+n with nonlinearity |u| p&1 u, p>1+4Ân. Such results have been known only for n 3.

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