RT Journal Article
SR 00
A1 Bégout, Pascal
T1 Necessary Conditions and Sufficient Conditions for Global Existence in the Nonlinear Schrödinger Equation
JF Advances in mathematical sciences and applications
YR 2002
FD 2002
VO 12
IS 2
SP 817
OP 827
K1 Necessary condition
K1 Sufficient condition
K1 Blow-up
K1 Global existence
AB 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.
PB Gakkōtosho Co
SN 1343-4373
LK https://publications.ut-capitole.fr/id/eprint/35019/