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Zeitschrift für Analysis und ihre Anwendungen


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Volume 37, Issue 1, 2018, pp. 73–82
DOI: 10.4171/ZAA/1603

Published online: 2018-01-08

Global Well-Posedness for the Gross–Pitaevskii Equation with Pumping and Nonlinear Damping

Binhua Feng[1], Xiangxia Yuan[2] and Jun Zheng[3]

(1) Northwest Normal University, Lanzhou, Gansu, China
(2) Northwest Normal University, Lanzhou, Gansu, China
(3) Southwest Jiatong University, Emeishan, Sichuan, China

This paper deals with the Cauchy problem for the Gross{Pitaevskii equation with pumping and nonlinear damping which describes the dynamics of pumped decaying Bose–Einstein condensates. This paper establishes global existence of solutions for general initial data in the energy space.

Keywords: Gross-Pitaevskii equation, global existence, nonlinear damping, pumping

Feng Binhua, Yuan Xiangxia, Zheng Jun: Global Well-Posedness for the Gross–Pitaevskii Equation with Pumping and Nonlinear Damping. Z. Anal. Anwend. 37 (2018), 73-82. doi: 10.4171/ZAA/1603