Profile decompositions of fractional Schrödinger equations with angularly regular data

Abstract

We study the fractional Schrödinger equations in ${\mathbb{R}}^{1+d},d\ge 3$ of order ${d}/({d-1}) < \al < 2$. Under the angular regularity assumption we prove linear and nonlinear profile decompositions which extend the previous results \cite{chkl2} to data without radial assumption. As applications we show blowup phenomena of solutions to mass-critical fractional Hartree equations.

arXiv admin note: text overlap with arXiv:1208.2303

References in corpus (5)

• Profile decompositions and Blowup phenomena of mass critical fractional Schrödinger equations
• Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equation
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