WIAS Preprint No. 1044, (2005)
Uniqueness for dissipative Schrödinger--Poisson systems
- Neidhardt, Hagen
- Rehberg, Joachim
2010 Mathematics Subject Classification
- 47B44 47E05 35J05
- dissipative Schroedinger-type operators, dissipative Schroedinger-Poisson systems, carrier and current densities, density matrices, smooth operators, scattering theory
The paper is devoted to the dissipative Schroedinger-Poisson system. We indicate conditions in terms of the Schroedinger-Poisson data which guarantee the uniqueness of the solution. Moreover, it is shown that if the system is sufficiently small shrunken, then it always admits a unique solution.
- J. Math. Phys., 46 (2005) pp. 113513/1--113513/28.