Deng, Yu On growth of Sobolev norms for energy critical NLS on irrational tori: small energy case. (English) Zbl 1409.35190 Commun. Pure Appl. Math. 72, No. 4, 801-834 (2019). Summary: We consider the energy-critical nonlinear Schrödinger equation on a generic irrational torus \(\mathbb{T}_\lambda^3\). Using the long-time Strichartz estimates proved in [the author et al., “Long time Strichartz estimates on irrational tori”, Preprint], we establish polynomial upper bounds for higher Sobolev norms for solutions with small energy. Cited in 11 Documents MSC: 35Q55 NLS equations (nonlinear Schrödinger equations) PDFBibTeX XMLCite \textit{Y. Deng}, Commun. Pure Appl. Math. 72, No. 4, 801--834 (2019; Zbl 1409.35190) Full Text: DOI arXiv