Classification of minimal mass blow-up solutions for an L² critical inhomogeneous NLS

2015/03/31 by Vianney Combet, Combet, Vianney, François Genoud +1
Mathematics · Engineering · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1503.08915

Abstract

We establish the classification of minimal mass blow-up solutions of the L² critical inhomogeneous nonlinear Schrödinger equation i∂_t u + Δu + |x|^-b|u|^(4-2b)/(N)u = 0, thereby extending the celebrated result of Merle from the classic case b=0 to the case 0<b></b>

Related

• Minimal mass blow-up solutions for a inhomogeneous NLS equation
• Existence and uniqueness of minimal blow up solutions to an inhomogeneous mass critical NLS
• Minimal-mass blow-up solutions for inhomogeneous nonlinear Schrödinger equations with growth potentials
• On mass - critical NLS with local and non-local nonlinearities
• A note on minimal mass blow up for inhomogeneous NLS