J. Bourgain, “Refinements of Strichartz’ Inequality and Applications to 2D-NLS with Critical Nonlinearity,” International Mathematics Research Notices, No. 5, 1998, 253-283.
has been cited by the following article:
TITLE: The Mass-Critical for the Nonlinear Schrödinger Equation in d = 2
AUTHORS: Mujahid Abd Elmjed M-Ali
KEYWORDS: NLS; Well Posed
JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.5, August 28, 2013
ABSTRACT: This paper studies the global behavior defocusing nonlinear Schrodinger equation in dimension d = 2, and we will discuss the case . This means that the solutions , and called critical solution. We show that u scatters forward and backward to a free solution and the solution is globally well posed.