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.

本文言語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
出版社American Institute of Physics Inc.
ページ343-355
ページ数13
1570
ISBN(電子版)9780735411685
DOI
出版ステータスPublished - 2013 1 1
外部発表はい
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
国/地域Bulgaria
CitySozopol
Period13/6/813/6/13

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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