H. Neidhardt, J. Rehberg
Uniqueness for Dissipative Schr\"odinger-Poisson Systems
(434K, pdf )

ABSTRACT.  The paper is devoted to the dissipative 
Schr\"odinger-Poisson system. We indicate conditions 
in terms of the Schr\"odinger-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.