Far field expansion for Hartree type equation

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    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.

    Original languageEnglish
    Title of host publication39th International Conference Applications of Mathematics in Engineering and Economics, AMEE 2013
    EditorsGeorge Venkov, Vesela Pasheva
    PublisherAmerican Institute of Physics Inc.
    Pages343-355
    Number of pages13
    Volume1570
    ISBN (Electronic)9780735411685
    DOIs
    Publication statusPublished - 2013 Jan 1
    Event39th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2013 - Sozopol, Bulgaria
    Duration: 2013 Jun 82013 Jun 13

    Other

    Other39th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2013
    CountryBulgaria
    CitySozopol
    Period13/6/813/6/13

    Fingerprint

    far fields
    expansion
    convolution integrals
    infinity
    differential equations
    scalars
    operators

    Keywords

    • asymptotic behavior
    • exponential integral
    • Hartree equation
    • solitary waves

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Gueorguiev, V. S., & Venkov, G. (2013). Far field expansion for Hartree type equation. In G. Venkov, & V. Pasheva (Eds.), 39th International Conference Applications of Mathematics in Engineering and Economics, AMEE 2013 (Vol. 1570, pp. 343-355). American Institute of Physics Inc.. https://doi.org/10.1063/1.4854775

    Far field expansion for Hartree type equation. / Gueorguiev, Vladimir Simeonov; Venkov, G.

    39th International Conference Applications of Mathematics in Engineering and Economics, AMEE 2013. ed. / George Venkov; Vesela Pasheva. Vol. 1570 American Institute of Physics Inc., 2013. p. 343-355.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Gueorguiev, VS & Venkov, G 2013, Far field expansion for Hartree type equation. in G Venkov & V Pasheva (eds), 39th International Conference Applications of Mathematics in Engineering and Economics, AMEE 2013. vol. 1570, American Institute of Physics Inc., pp. 343-355, 39th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2013, Sozopol, Bulgaria, 13/6/8. https://doi.org/10.1063/1.4854775
    Gueorguiev VS, Venkov G. Far field expansion for Hartree type equation. In Venkov G, Pasheva V, editors, 39th International Conference Applications of Mathematics in Engineering and Economics, AMEE 2013. Vol. 1570. American Institute of Physics Inc. 2013. p. 343-355 https://doi.org/10.1063/1.4854775
    Gueorguiev, Vladimir Simeonov ; Venkov, G. / Far field expansion for Hartree type equation. 39th International Conference Applications of Mathematics in Engineering and Economics, AMEE 2013. editor / George Venkov ; Vesela Pasheva. Vol. 1570 American Institute of Physics Inc., 2013. pp. 343-355
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