Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614459 | Journal of Mathematical Analysis and Applications | 2016 | 20 Pages |
Abstract
We consider the fractional nonlinear Schrödinger equation (fNLS) with non-local dispersion |∇|α|∇|α and focusing energy-critical Hartree type nonlinearity [−(|x|−2α⁎|u|2)u][−(|x|−2α⁎|u|2)u]. We consider the energy-concentration phenomena of radial blowup solutions near the maximal existence time. We use the concentration-compactness approach of [19] for confined case and kinetic energy trapping approach of [21] for unconfined case.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yonggeun Cho, Gyeongha Hwang, Yong-Sun Shim,