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• W4310875153 abstract "We study the Cauchy problems for the Klein-Gordon (HNLKG), wave (HNLW), and Schrodinger (HNLS) equations with cubic convolution (of Hartree type) nonlinearity. Some global well-posedness and scattering are obtained for the (HNLKG) and (HNLS) with small Cauchy data in some modulation spaces. Global well-posedness for fractional Schrodinger (fNLSH) equation with Hartree type nonlinearity is obtained with Cauchy data in some modulation spaces. Local well-posedness for (HNLW), (fHNLS) and (HNLKG) with rough data in modulation spaces is shown. As a consequence, we get local and global well-posedness and scattering in larger than usual (L^p)-Sobolev spaces. For more information see https://ejde.math.txstate.edu/Volumes/2021/101/abstr.html" @default.
• W4310875153 created "2022-12-19" @default.
• W4310875153 creator A5045104782 @default.
• W4310875153 date "2021-12-21" @default.
• W4310875153 modified "2023-10-18" @default.
• W4310875153 title "Global well-posedness for Klein-Gordon-Hartree and fractional Hartree equations on modulation spaces" @default.
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• W4310875153 doi "https://doi.org/10.58997/ejde.2021.101" @default.
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