Stability for the time-dependent Hartree equation with positive energy | |
Ma, Li ; Zhao, Lin | |
2010-10-12 ; 2010-10-12 | |
关键词 | Time-dependent Hartree equation Stability FERMI TYPE THEORIES CONCENTRATION-COMPACTNESS PRINCIPLE NEUTRAL SUBSYSTEMS MOLECULES ATOMS BINDING CALCULUS SYSTEMS Mathematics, Applied Mathematics |
中文摘要 | In this paper, we show that the H-1 solutions to the time-dependent Hartree equation i partial derivative u/partial derivative t = 1/2 Delta u + 2/|x|u - (|u|(2) * 1/|x|)u on R-3 are stable under the perturbation of parameters. We show that any sequence of H-1 solutions to the Hartree equations with perturbed parameters admits a weakly convergent subsequence, the weak limit of which is also an H-1 solution to the Hartree equation. To prove our stability result, we need to deal with the terms involving the potential 1/|x| and new estimates will be employed. (C) 2009 Elsevier Inc. All rights reserved. |
语种 | 英语 ; 英语 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE ; SAN DIEGO ; 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA |
内容类型 | 期刊论文 |
源URL | [http://hdl.handle.net/123456789/81301] ![]() |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | Ma, Li,Zhao, Lin. Stability for the time-dependent Hartree equation with positive energy[J],2010, 2010. |
APA | Ma, Li,&Zhao, Lin.(2010).Stability for the time-dependent Hartree equation with positive energy.. |
MLA | Ma, Li,et al."Stability for the time-dependent Hartree equation with positive energy".(2010). |
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