%A Pascal Bégout
%J Advances in mathematical sciences and applications
%T Necessary Conditions and Sufficient Conditions for Global Existence in the Nonlinear Schrödinger Equation
%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.
%N 2
%K Necessary condition
%K Sufficient condition
%K Blow-up
%K Global existence
%P 817-827
%V 12
%D 2002
%I Gakkōtosho Co
%L publications35019