Far field expansion for Hartree type equation

研究成果: Conference contribution

抄録

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.

元の言語English
ホスト出版物のタイトル39th International Conference Applications of Mathematics in Engineering and Economics, AMEE 2013
編集者George Venkov, Vesela Pasheva
出版者American Institute of Physics Inc.
ページ343-355
ページ数13
1570
ISBN(電子版)9780735411685
DOI
出版物ステータスPublished - 2013 1 1
外部発表Yes
イベント39th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2013 - Sozopol, Bulgaria
継続期間: 2013 6 82013 6 13

Other

Other39th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2013
Bulgaria
Sozopol
期間13/6/813/6/13

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far fields
expansion
convolution integrals
infinity
differential equations
scalars
operators

ASJC Scopus subject areas

  • Physics and Astronomy(all)

これを引用

Gueorguiev, V. S., & Venkov, G. (2013). Far field expansion for Hartree type equation. : G. Venkov, & V. Pasheva (版), 39th International Conference Applications of Mathematics in Engineering and Economics, AMEE 2013 (巻 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. 版 / George Venkov; Vesela Pasheva. 巻 1570 American Institute of Physics Inc., 2013. p. 343-355.

研究成果: Conference contribution

Gueorguiev, VS & Venkov, G 2013, Far field expansion for Hartree type equation. : G Venkov & V Pasheva (版), 39th International Conference Applications of Mathematics in Engineering and Economics, AMEE 2013. 巻. 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. : Venkov G, Pasheva V, 編集者, 39th International Conference Applications of Mathematics in Engineering and Economics, AMEE 2013. 巻 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. 編集者 / George Venkov ; Vesela Pasheva. 巻 1570 American Institute of Physics Inc., 2013. pp. 343-355
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