Stability of solutions for nonlinear Schrdinger equations in critical spaces |
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基金项目: | supported by the start-up fund from University of Iowa; supported by US National Science Foundation (Grant No. 0908032) |
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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 .
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关 键 词: | Schrdinger equation stability critical space |
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