@article{publications35019,
          volume = {12},
          number = {2},
          author = {Pascal B{\'e}gout},
           title = {Necessary Conditions and Sufficient Conditions for Global Existence in the Nonlinear Schr{\"o}dinger Equation},
       publisher = {Gakk{\=o}tosho Co},
         journal = {Advances in mathematical sciences and applications},
           pages = {817--827},
            year = {2002},
        keywords = {Necessary condition, Sufficient condition, Blow-up, Global existence},
             url = {https://publications.ut-capitole.fr/id/eprint/35019/},
        abstract = {In this paper, we consider the nonlinear Schr{\"o}dinger equation with the super critical power of nonlinearity in the attractive case. We give a sufficient condition and a necessary condition to obtain global or blowing up solutions. These conditions coincide in the critical case, thereby extending the results of Weinstein [26,27]. Furthermore, we improve a blow-up condition.}
}