Inverse backscattering Born approximation for the magnetic Schrödinger equation in three dimensions
✍ Scribed by Sandhu, Jan; Serov, Valery
- Book ID
- 121873121
- Publisher
- John Wiley and Sons
- Year
- 2013
- Tongue
- English
- Weight
- 111 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.2920
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📜 SIMILAR VOLUMES
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
## Abstract Consider the focusing $\dot H^{1/2}$‐critical semilinear Schrödinger equation in $\font\open=msbm10 at 10pt\def\R{\hbox{\open R}}\R^3$ It admits an eight‐dimensional manifold of special solutions called ground state solitons. We exhibit a codimension‐1 critical real analytic manifold