𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Cauchy problem for nonlinear Schrödinger equations with rotation

✍ Scribed by Antonelli, Paolo; Marahrens, Daniel; Sparber, Christof

Book ID
120216379
Publisher
American Institute of Mathematical Sciences
Year
2012
Tongue
English
Weight
385 KB
Volume
32
Category
Article
ISSN
1078-0947

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Cauchy problem for the -critical nonline
Cauchy problem for the -critical nonlinear Schrödinger equation below
✍ Daoyuan Fang; Sijia Zhong 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 223 KB 👁 1 views

In this paper, we consider solutions of the L 2 -critical focusing nonlinear Schrödinger equation on R 2 for the initial data in H s (s < 1), mainly about the L 2 concentration phenomena for blow-up solutions and global well-posedness for small initial data.

The Cauchy problem for the Schrödinger e
The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity
✍ Riccardo Adami; Gianfausto Dell'Antonio; Rodolfo Figari; Alessandro Teta 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 185 KB 👁 1 views

We consider the Schrödinger equation in R 3 with nonlinearity concentrated in a finite set of points. We formulate the problem in the space of finite energy V , which is strictly larger than the standard H 1 -space due to the specific singularity exhibited by the solutions. We prove local existence