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M. Del Pino and J. Dolbeault, “Best Constants for Gagliardo-Nirenberg Inequalities and Applications to Nonlinear Diffusions,” Journal de Mathématiques Pures et Appliquées, Vol. 81, No. 9, 2002, pp. 847-875.

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.