Article ID Journal Published Year Pages File Type
4614459 Journal of Mathematical Analysis and Applications 2016 20 Pages PDF
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
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