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Stability of solutions for nonlinear Schrdinger equations in critical spaces
基金项目:supported by the start-up fund from University of Iowa; supported by US National Science Foundation (Grant No. 0908032)
摘    要:We consider the Cauchy problem for nonlinear Schrdinger 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 .

关 键 词:Schrdinger equation  stability  critical space  
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