Title:
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On the asymptotics of solutions to the second initial boundary value problem for Schrödinger systems in domains with conical points (English) |
Author:
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Hung, Nguyen Manh |
Author:
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Long, Hoang Viet |
Author:
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Son, Nguyen Thi Kim |
Language:
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English |
Journal:
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Applications of Mathematics |
ISSN:
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0862-7940 (print) |
ISSN:
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1572-9109 (online) |
Volume:
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58 |
Issue:
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1 |
Year:
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2013 |
Pages:
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63-91 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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In this paper, for the second initial boundary value problem for Schrödinger systems, we obtain a performance of generalized solutions in a neighborhood of conical points on the boundary of the base of infinite cylinders. The main result are asymptotic formulas for generalized solutions in case the associated spectrum problem has more than one eigenvalue in the strip considered. (English) |
Keyword:
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second initial boundary value problem |
Keyword:
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Schrödinger systems |
Keyword:
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generalized solution |
Keyword:
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regularity |
Keyword:
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asymptotic behavior |
MSC:
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35B40 |
MSC:
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35B65 |
MSC:
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35C20 |
MSC:
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35G46 |
MSC:
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35G99 |
MSC:
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35Q40 |
idZBL:
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Zbl 1274.35023 |
idMR:
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MR3022769 |
DOI:
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10.1007/s10492-013-0003-9 |
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Date available:
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2013-01-23T10:13:10Z |
Last updated:
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2020-07-02 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/143135 |
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Reference:
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Reference:
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Reference:
|
[3] Hung, N. M., Anh, N. T.: Regularity of solutions of initial-boundary value problems for parabolic equations in domains with conical points.J. Differ. Equations 245 (2008), 1801-1818. Zbl 1170.35048, MR 2433487, 10.1016/j.jde.2008.07.011 |
Reference:
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Reference:
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Reference:
|
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Reference:
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Reference:
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Reference:
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Reference:
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