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Applications of Mathematics

, Volume 58, Issue 1, pp 63–91 | Cite as

On the asymptotics of solutions to the second initial boundary value problem for Schrödinger systems in domains with conical points

  • Nguyen Manh Hung
  • Hoang Viet Long
  • Nguyen Thi Kim Son
Article

Abstract

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.

Keywords

second initial boundary value problem Schrödinger systems generalized solution regularity asymptotic behavior 

MSC 2010

35B40 35B65 35G99 

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Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2013

Authors and Affiliations

  • Nguyen Manh Hung
    • 1
  • Hoang Viet Long
    • 2
  • Nguyen Thi Kim Son
    • 3
  1. 1.Department of MathematicsHanoi University of EducationHanoiVietnam
  2. 2.Department of Basic SciencesUniversity of Transport and CommunicationsHanoiVietnam
  3. 3.Department of MathematicsHanoi University of EducationHanoiVietnam

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