Uniqueness for Dissipative Schrödinger-Poisson Systems
Please always quote using this URN:urn:nbn:de:0296-matheon-4554
- 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.
Author: | Hagen Neidhardt, Joachim Rehberg |
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URN: | urn:nbn:de:0296-matheon-4554 |
Referee: | Alexander Mielke |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2008/02/19 |
Release Date: | 2008/01/02 |
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Institute: | Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) |
MSC-Classification: | 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Jxx Elliptic equations and systems [See also 58J10, 58J20] / 35J05 Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation [See also 31Axx, 31Bxx] |
47-XX OPERATOR THEORY / 47Bxx Special classes of linear operators / 47B44 Accretive operators, dissipative operators, etc. | |
47-XX OPERATOR THEORY / 47Exx Ordinary differential operators [See also 34Bxx, 34Lxx] / 47E05 Ordinary differential operators [See also 34Bxx, 34Lxx] (should also be assigned at least one other classification number in section 47) | |
Preprint Number: | 450 |