Growth of higher Sobolev norms for energy critical NLS on irrational tori: small energy case

2017/02/18 by Deng, Yu
#35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1702.05617

Abstract

We consider the energy critical nonlinear Schrodinger equation on generic irrational tori. Using the long-time Strichartz estimates proved in [8], we establish polynomial upper bounds for higher Sobolev norms for solutions with small energy.

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• Strichartz estimates for Schrödinger equations on irrational tori