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- W2963906033 abstract "Abstract In this paper we study the small data scattering of Hartree type semirelativistic equation in space dimension 3. The Hartree type nonlinearity is [ V ∗ | u | 2 ] u and the potential V which generalizes the Yukawa has some growth condition. We show that the solution scatters to linear solution if an initial data given in H s , 1 is sufficiently small and s > 1 4 . Here, H s , 1 is Sobolev type space taking in angular regularity with norm defined by ‖ φ ‖ H s , 1 = ‖ φ ‖ H s + ‖ ∇ S φ ‖ H s . To establish the results we employ the recently developed Strichartz estimate which is L θ 2 -averaged on the unit sphere S 2 and construct the resolution space based on U p - V p space." @default.
- W2963906033 created "2019-07-30" @default.
- W2963906033 creator A5006719398 @default.
- W2963906033 date "2019-01-01" @default.
- W2963906033 modified "2023-09-29" @default.
- W2963906033 title "Small data scattering of semirelativistic Hartree equation" @default.
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- W2963906033 doi "https://doi.org/10.1016/j.na.2018.07.003" @default.
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