The threshold of global existence for three-dimensional attractive nonlinear Schrödinger equations under confined potentials was derived. A radial basis function method was applied to solve the related nonlinear scalar field equation in R 3 . The numerical value of the threshold was computed by using a meshless computational method.
Hon, Y. C., Zhang, J., & Zhou, X. (2002). Threshold of global existence for 3-D attractive nonlinear Schrödinger equations under confined potentials. Computers and Mathematics with Applications, 44(3–4), 317–322. https://doi.org/10.1016/S0898-1221(02)00150-5