@Article{JPDE-11-2, author = {}, title = {The Global Cauchy Problem for the Critical and Subcritical Nonlinear Schrodinger Equations in Hs}, journal = {Journal of Partial Differential Equations}, year = {1998}, volume = {11}, number = {2}, pages = {173--192}, abstract = { In this paper, the local and global existence of solutions for the Cauchy problem of the critical and subcritical nonlinear Schrödinger equations in H^s (s ≥ 2) is studied by using the manner of formal differentiation with respect to time. Some conjectures posed by Cazenave and Weissler in [1] are verified.}, issn = {2079-732X}, doi = {https://doi.org/1998-JPDE-5564}, url = {https://global-sci.com/article/88805/the-global-cauchy-problem-for-the-critical-and-subcritical-nonlinear-schrodinger-equations-in-emhsupssupem} }