𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Asymptotic Expansion of the Solution to
✍ Takeshi Wada 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 164 KB

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

Asymptotic and limiting profiles of blow
✍ Hayato Nawa 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 751 KB

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