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- Title
Stability of Standing Waves for a Generalized Choquard Equation with Potential.
- Authors
Cheng, Zhipeng; Yang, Minbo
- Abstract
We are going to study the standing waves for the generalized Choquard equation with potential: −i∂tu−Δu+V(x)u=(|x|−1∗|u|p)|u|p−2u,in R×R3,<graphic></graphic> where V(x)<inline-graphic></inline-graphic> is a real function, p>2<inline-graphic></inline-graphic> is close to 2 and ∗ standards for the convolution in R3<inline-graphic></inline-graphic>. The stability of the standing waves u(x)=eiωtφ(x)<inline-graphic></inline-graphic> is investigated under suitable assumptions on the potential and the frequency ω<inline-graphic></inline-graphic>.
- Subjects
STANDING waves; GRAPH theory; MATHEMATICAL convolutions; DISTRIBUTION (Probability theory); MATHEMATICAL models
- Publication
Acta Applicandae Mathematicae, 2018, Vol 157, Issue 1, p25
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-018-0162-5