Asymptotic dynamics of nonlinear Schrödinger equations: Resonance-dominated and dispersion-dominated solutions
✍ Scribed by Tai-Peng Tsai; Horng-Tzer Yau
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 530 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0010-3640
- DOI
- 10.1002/cpa.3012
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📜 SIMILAR VOLUMES
This paper deals with the equation Here, u is a complex-valued function of (t, x) # R\_R n , n 2, and \* is a real number. If u 0 is small in L 2, s with s>(nÂ2)+2, then the solution u(t) behaves asymptotically as uniformly in R n as t Ä . Here , is a suitable function called the modified scatteri
This paper is a sequel to previous ones [38,39,41]. We continue the study of the blowup problem for the nonlinear Schrödinger equation with critical power nonlinearity (NSC). We introduce a new idea to prove the existence of a blowup solution in H 1 (R N ) without any weight condition and reduce the