Long time dynamics for the focusing inhomogeneous fractional Schrödinger equation

2022/11/21 by Majdoub, Mohamed, Saanouni, Tarek
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2211.11506

Abstract

We consider the following fractional NLS with focusing inhomogeneous power-type nonlinearity i∂_t u -(-Δ)^s u + |x|^-b|u|^p-1u=0, (t,x)∈ ℝ× ℝ^N, where N≥ 2, 1/2

Related

• Dynamics of the non-radial energy-critical inhomogeneous NLS
• On blowup solutions to the focusing L²-supercritical nonlinear fractional Schrödinger equation
• Long time dynamics for the focusing nonlinear Schrödinger equation with exponential nonlinearities
• Space-time fractional NLS equation
• Long time dynamics and blow-up for the focusing inhomogeneous nonlinear Schrödinger equation with spatial growing nonlinearity