Existence and stability of periodic solution to the 3D Ginzburg-Landau equation in weighted Sobolev spaces
We prove the existence of time periodic solution to the 3D Ginzburg-Landau equation in weighted Sobolev spaces. We consider the cubic Ginzburg-Landau equation with an external force $g$ satisfying the oddness condition $g(-x,t)=-g(x,t)$. The existence of the periodic solution is proved for small tim...
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| creator | Guo, Boling Qin, Guoquan |
| description | We prove the existence of time periodic solution to the 3D Ginzburg-Landau
equation in weighted Sobolev spaces. We consider the cubic Ginzburg-Landau
equation with an external force $g$ satisfying the oddness condition
$g(-x,t)=-g(x,t)$. The existence of the periodic solution is proved for small
time-periodic external force. The stability of the time periodic solution is
also considered. |
| doi_str_mv | 10.48550/arxiv.1907.03114 |
| format | Article |
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equation in weighted Sobolev spaces. We consider the cubic Ginzburg-Landau
equation with an external force $g$ satisfying the oddness condition
$g(-x,t)=-g(x,t)$. The existence of the periodic solution is proved for small
time-periodic external force. The stability of the time periodic solution is
also considered.</description><identifier>DOI: 10.48550/arxiv.1907.03114</identifier><language>eng</language><subject>Mathematics - Analysis of PDEs</subject><creationdate>2019-07</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1907.03114$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1907.03114$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Guo, Boling</creatorcontrib><creatorcontrib>Qin, Guoquan</creatorcontrib><title>Existence and stability of periodic solution to the 3D Ginzburg-Landau equation in weighted Sobolev spaces</title><description>We prove the existence of time periodic solution to the 3D Ginzburg-Landau
equation in weighted Sobolev spaces. We consider the cubic Ginzburg-Landau
equation with an external force $g$ satisfying the oddness condition
$g(-x,t)=-g(x,t)$. The existence of the periodic solution is proved for small
time-periodic external force. The stability of the time periodic solution is
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equation in weighted Sobolev spaces. We consider the cubic Ginzburg-Landau
equation with an external force $g$ satisfying the oddness condition
$g(-x,t)=-g(x,t)$. The existence of the periodic solution is proved for small
time-periodic external force. The stability of the time periodic solution is
also considered.</abstract><doi>10.48550/arxiv.1907.03114</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs |
| title | Existence and stability of periodic solution to the 3D Ginzburg-Landau equation in weighted Sobolev spaces |
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