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

DOI10.1007/S10492-013-0003-9zbMath1274.35023OpenAlexW3162556322MaRDI QIDQ1950793

Nguyen Manh Hung, Hoang Viet Long, Nguyen Thi Kim Son

Publication date: 13 May 2013

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143135

zbMATH Keywords

regularityasymptotic behaviorgeneralized solutionSchrödinger systemsecond initial boundary value problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic expansions of solutions to PDEs (35C20) PDEs in connection with quantum mechanics (35Q40) General higher-order partial differential equations and systems of higher-order partial differential equations (35G99)

Cites Work

• Regularity of solutions of initial-boundary value problems for parabolic equations in domains with conical points
• On the regularity of solution of the second initial boundary value problem for Schrödinger systems in domains with conical points
• On the asymptotics of solutions of the first initial boundary value problem for hyperbolic systems in infinite cylinders with base containing conical points
• Spectral properties of the operator bundles generated by elliptic boundary-value problems in a cone
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