Abstract: By constructing a modified energy functional, we  investigated the temporal growth of higher-order Sobolev norms for the nonlinear Schrodinger equation (NLS) in two-dimensional Euclidean spaces. Based on results for cubic nonlinearities, we established a polynomial bound applicable to arbitrary higher-order nonlinearities. The obtained results improved the theory of higher-order regularity evolution for NLS.

Key words: nonlinear Schrodinger equation, Sobolev norm, modified energy, Strichartz estimate