Article citationsMore>>

J. Dolbeault and G. Rein, “Time-Dependent Rescalings and Lyapunov Functionals for the Vlasov-Poisson Ena d Euler-Poisson Systems, and for Related Models of Kinetic Equations, fluid Dynamics and Quantum Mechanics,” Mathematical Models and Methods in Applied Sciences, Vol. 11, 2001, pp. 407-432.

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.