Abstract
Abstract
In this paper, we show that the cubic nonlinear Schrödinger equation (NLS) with the fractional Laplacian on the unit disk is globally well-posed for certain radial initial data below the energy space and establish a polynomial bound of the global solution. The result is proved by extending the I-method in the fractional NLS setting.
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Cited by
1 articles.
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