Global existence for the nonlinear fractional Schr "odinger equation\n with fractional dissipation

2017/04/18 by Mohamad Darwich, Darwich, Mohamad
Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1704.05307

openalex publication_date 2017/04/18 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

We consider the initial value problem for the fractional nonlinear\nSchr "odinger equation with a fractional dissipation. Global existence and\nscattering are proved depending on the order of the fractional dissipation.\n

Citations

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

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