On the real analyticity of the scattering operator for the Hartree equation
Changxing Miao; Haigen Wu; Junyong Zhang
Annales Polonici Mathematici (2009)
- Volume: 95, Issue: 3, page 227-242
- ISSN: 0066-2216
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topChangxing Miao, Haigen Wu, and Junyong Zhang. "On the real analyticity of the scattering operator for the Hartree equation." Annales Polonici Mathematici 95.3 (2009): 227-242. <http://eudml.org/doc/281095>.
@article{ChangxingMiao2009,
abstract = {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.},
author = {Changxing Miao, Haigen Wu, Junyong Zhang},
journal = {Annales Polonici Mathematici},
keywords = {Hartree equation; real analyticity; scattering operator; compactness},
language = {eng},
number = {3},
pages = {227-242},
title = {On the real analyticity of the scattering operator for the Hartree equation},
url = {http://eudml.org/doc/281095},
volume = {95},
year = {2009},
}
TY - JOUR
AU - Changxing Miao
AU - Haigen Wu
AU - Junyong Zhang
TI - On the real analyticity of the scattering operator for the Hartree equation
JO - Annales Polonici Mathematici
PY - 2009
VL - 95
IS - 3
SP - 227
EP - 242
AB - 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.
LA - eng
KW - Hartree equation; real analyticity; scattering operator; compactness
UR - http://eudml.org/doc/281095
ER -
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