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 language | English |
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Title of host publication | 39th International Conference Applications of Mathematics in Engineering and Economics, AMEE 2013 |
Editors | George Venkov, Vesela Pasheva |
Publisher | American Institute of Physics Inc. |
Pages | 343-355 |
Number of pages | 13 |
Volume | 1570 |
ISBN (Electronic) | 9780735411685 |
DOIs | |
Publication status | Published - 2013 Jan 1 |
Externally published | Yes |
Event | 39th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2013 - Sozopol, Bulgaria Duration: 2013 Jun 8 → 2013 Jun 13 |
Other
Other | 39th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2013 |
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Country | Bulgaria |
City | Sozopol |
Period | 13/6/8 → 13/6/13 |
Keywords
- asymptotic behavior
- exponential integral
- Hartree equation
- solitary waves
ASJC Scopus subject areas
- Physics and Astronomy(all)