On the asymptotics of solutions to the second initial boundary value problem for Schrödinger systems in domains with conical points
Applications of Mathematics, Tome 58 (2013) no. 1, pp. 63-91.

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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.
DOI : 10.1007/s10492-013-0003-9
Classification : 35B40, 35B65, 35C20, 35G46, 35G99, 35Q40
Keywords: second initial boundary value problem; Schrödinger systems; generalized solution; regularity; asymptotic behavior
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     title = {On the asymptotics of solutions to the second initial boundary value problem for {Schr\"odinger} systems in domains with conical points},
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Hung, Nguyen Manh; Long, Hoang Viet; Son, Nguyen Thi Kim. On the asymptotics of solutions to the second initial boundary value problem for Schrödinger systems in domains with conical points. Applications of Mathematics, Tome 58 (2013) no. 1, pp. 63-91. doi : 10.1007/s10492-013-0003-9. http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0003-9/

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