摘要
We consider the Cauchy problem for nonlinear Schrdinger equation iut + Δu = ±|u|pu,4/d< p <4 /d-2 in high dimensions d 6. We prove the stability of solutions in the critical space H˙xsp , where sp = d/2-p/2 .
We consider the Cauchy problem for nonlinear Schrdinger equation iut ＋ Δu = ±｜u｜pu,4/d〈 p 〈4 /d-2 in high dimensions d 6. We prove the stability of solutions in the critical space H˙xsp , where sp = d/2-p/2 .
基金
supported by the start-up fund from University of Iowa
supported by US National Science Foundation (Grant No. 0908032)
