On the L²-critical nonlinear Schrodinger equation with an inhomogeneous damping term

2017/03/27 by Mohamad Darwich, Darwich, Mohamad
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1703.09101

openalex publication_date 2017/03/27 · openalex created_date 2017/04/07 · openalex updated_date 2026/07/28

Abstract

We consider the L²-critical nonlinear Schrodinger equation with an inhomogeneous damping term. We prove that there exists an initial data such that the corresponding solution is global in H¹(R^d) and we give the minimal time of the blow up for some initial data.

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