TY - JOUR
T1 - Energy critical fourth-order Schrödinger equations with subcritical perturbations
AU - Zhang, Junyong
AU - Zheng, Jiqiang
PY - 2010/8/15
Y1 - 2010/8/15
N2 - In this paper, we study the global well-posedness and scattering theory of an 8-D cubic nonlinear fourth-order Schrödinger equation, which is perturbed by a subcritical nonlinearity. We utilize the strategies in Tao et al. (2007) [16] and Zhang (2006) [17] to obtain when the cubic term is defocusing, the solution is always global no matter what the sign of the subcritical perturbation term is. Moreover, scattering will occur either when the pertubation is defocusing and 1
AB - In this paper, we study the global well-posedness and scattering theory of an 8-D cubic nonlinear fourth-order Schrödinger equation, which is perturbed by a subcritical nonlinearity. We utilize the strategies in Tao et al. (2007) [16] and Zhang (2006) [17] to obtain when the cubic term is defocusing, the solution is always global no matter what the sign of the subcritical perturbation term is. Moreover, scattering will occur either when the pertubation is defocusing and 1
KW - Fourth-order Schrödinger equation
KW - Global well-posedness
KW - Scattering
KW - Strichartz-type estimate
UR - http://www.scopus.com/inward/record.url?scp=77955312043&partnerID=8YFLogxK
U2 - 10.1016/j.na.2010.04.027
DO - 10.1016/j.na.2010.04.027
M3 - Article
AN - SCOPUS:77955312043
SN - 0362-546X
VL - 73
SP - 1004
EP - 1014
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 4
ER -