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

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.

References in corpus (4)

• Bounds on the growth of high Sobolev norms of solutions to Nonlinear Schrodinger Equations on $\mathbb{R}$
• Strichartz estimates for Schrödinger equations on irrational tori in two and three dimensions
• Strichartz estimates for Schrödinger equations on irrational tori
• Global Well-posedness of the Energy-Critical Defocusing NLS on Rectangular Tori in three Dimensions

Cited by in corpus (1)

• Stability of the Cubic Nonlinear Schrodinger Equation on Irrational Tori