TY  - JOUR
ID  - publications35019
UR  - https://publications.ut-capitole.fr/id/eprint/35019/
IS  - 2
A1  - Bégout, Pascal
N2  - 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.
VL  - 12
TI  - Necessary Conditions and Sufficient Conditions for Global Existence in the Nonlinear Schrödinger Equation
AV  - public
EP  - 827
Y1  - 2002///
PB  - Gakkōtosho Co
JF  - Advances in mathematical sciences and applications
KW  - Necessary condition
KW  - Sufficient condition
KW  - Blow-up
KW  - Global existence
SN  - 1343-4373
SP  - 817
ER  -