H
m
-modified wave operator for nonlinear Hartree equation in space of dimensionn≥2 |
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Authors: | Miao Changxing |
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Institution: | (1) Institute of Applied physics and Computational Mathematics, 100088 Beijing, China |
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Abstract: | We consider the scattering problem for the Hartree equation with potential |x|−1 in a space of dimensionn≥2. We prove the existence ofH
m
-modified wave operator for Hartree equation on a dense set of a neighborhood of zero inH
m
(ℝ
n
), meanwhile, we obtain also the global existence for the Cauchy problem of Hartree equation in a space of dimensionn≥2.
This project is supported by the National Natural Science Foundation of China, 19601005 |
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Keywords: | Hartree equation Cauchy problem Modified wave operator |
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