%0 Journal Article
%@ 1343-4373
%A Bégout, Pascal
%D 2002
%F publications:35019
%I Gakkōtosho Co
%J Advances in mathematical sciences and applications
%K Necessary condition
%K Sufficient condition
%K Blow-up
%K Global existence
%N 2
%P 817-827
%T Necessary Conditions and Sufficient Conditions for Global Existence in the Nonlinear Schrödinger Equation
%U https://publications.ut-capitole.fr/id/eprint/35019/
%V 12
%X In this paper, we consider the nonlinear Schrödinger 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.