@inproceedings{9f247cc79b41446bb8e80b5cf11cc228,

title = "Far field expansion for Hartree type equation",

abstract = "We consider the scalar field equation -Δu(x)+(1|x|∗u2(x))u(x)-E2u(x)|x|+u(x) = 0 where u = u(|x|) is a radial positive solution and∗ is the convolution operator in R3. This equation can be rewritten as ordinary differential equation -ru{"}(r)-2u′(r)+r r∞(1s-1r)u2(s)s2dsu(r)+ru(r) = 0 and this note is concerned with asymptotic behavior at infinity of solutions of this equation.",

keywords = "Hartree equation, asymptotic behavior, exponential integral, solitary waves",

author = "V. Georgiev and G. Venkov",

note = "Publisher Copyright: {\textcopyright} 2013 AIP Publishing LLC.; 39th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2013 ; Conference date: 08-06-2013 Through 13-06-2013",

year = "2013",

doi = "10.1063/1.4854775",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

pages = "343--355",

editor = "George Venkov and Vesela Pasheva",

booktitle = "39th International Conference Applications of Mathematics in Engineering and Economics, AMEE 2013",

}