Abstract
We consider the time-dependent Schrödinger-Hartree equation {Mathematical expression} {Mathematical expression} where λ≧0 and {Mathematical expression}. We show that there exists a unique global solution u of (1) and (2) such that {Mathematical expression} with {Mathematical expression} Furthermore, we show that u has the following estimates: {Mathematical expression} and {Mathematical expression}
Original language | English |
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Pages (from-to) | 467-478 |
Number of pages | 12 |
Journal | Communications in Mathematical Physics |
Volume | 110 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1987 Sep 1 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics