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Abstrakty
We study the real analyticity of the scattering operator for the Hartree equation $i∂_tu = -Δu + u(V*|u|²)$. To this end, we exploit interior and exterior cut-off in time and space, together with a compactness argument to overcome difficulties which arise from absence of good properties as for the Klein-Gordon equation, such as the finite speed of propagation and ideal time decay estimate. Additionally, the method in this paper allows us to simplify the proof of analyticity of the scattering operator for the nonlinear Klein-Gordon equation with cubic nonlinearity.
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Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
227-242
Opis fizyczny
Daty
wydano
2009
Twórcy
autor
- Institute of Applied Physics, and Computational Mathematics, P.O. Box 8009, Beijing, China, 100088
autor
- The Graduate School of China Academy, of Engineering Physics, P.O. Box 2101, Beijing, China, 100088
- School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China, 454000
autor
- The Graduate School of China Academy, of Engineering Physics, P.O. Box 2101, Beijing, China, 100088
Bibliografia
Typ dokumentu
Bibliografia
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DOI
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-3-3