Article citationsMore>>
Cho, Y., Hwang, G., Kwon, S. and Lee, S. (2015) On Finite Time Blow-Up for the Mass-Critical Hartree Equations. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 145, 467-479.
https://doi.org/10.1017/s030821051300142x
has been cited by the following article:
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TITLE:
Stability of Standing Waves for the Nonlinear Schrödinger Equation with Mixed Power-Type and Hartree-Type Nonlinearities
AUTHORS:
Chunyang Yan
KEYWORDS:
Nonlinear Schrödinger Equation, Concentration Compactness Principle, Orbital Stability
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.10,
October
22,
2024
ABSTRACT: This paper studies the existence of stable standing waves for the nonlinear Schrödinger equation with Hartree-type nonlinearity
i
∂
t
ψ+Δψ+
| ψ |
p
ψ+(
| x |
−γ
∗
| ψ |
2
)ψ=0, (
t,x
)∈[
0,T )×
ℝ
N
.
Where
ψ=ψ(
t,x
)
is a complex valued function of
(
t,x
)∈
ℝ
+
×
ℝ
N
. The parameters
N≥3
,
0