Profile decompositions and Blowup phenomena of mass critical fractional Schrödinger equations

Abstract

We study, under the radial symmetry assumption, the solutions to the fractional Schrödinger equations of critical nonlinearity in ${\mathbb{R}}^{1+d},d\ge 2$, with Lévy index ${2d}/({2d-1}) < \al < 2$. We firstly prove the linear profile decomposition and then apply it to investigate the properties of the blowup solutions of the nonlinear equations with mass-critical Hartree type nonlineartity.

References in corpus (1)

• Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equation

Cited by in corpus (8)

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• Global existence for the nonlinear fractional Schrödinger equation with fractional dissipation
• Profile decompositions of fractional Schrödinger equations with angularly regular data