On blowup solutions to the focusing L²-supercritical nonlinear fractional Schrödinger equation

2018/02/06 by Dinh, Van Duong
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1802.02891

Abstract

We study dynamical properties of blowup solutions to the focusing L²-supercritical nonlinear fractional Schrödinger equation i∂_t u -(-Δ)^s u = -|u|^αu, u(0) = u₀, on [0,∞) × ℝ^d, where d ≥ 2, (d)/(2d-1) ≤ s <1, (4s)/(d)

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