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
Applications of Mathematics (2013)
- Volume: 58, Issue: 1, page 63-91
- ISSN: 0862-7940
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topHung, Nguyen Manh, Long, Hoang Viet, and 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 58.1 (2013): 63-91. <http://eudml.org/doc/251363>.
@article{Hung2013,
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.},
author = {Hung, Nguyen Manh, Long, Hoang Viet, Son, Nguyen Thi Kim},
journal = {Applications of Mathematics},
keywords = {second initial boundary value problem; Schrödinger systems; generalized solution; regularity; asymptotic behavior; second initial boundary value problem; Schrödinger system; generalized solution; regularity; asymptotic behavior},
language = {eng},
number = {1},
pages = {63-91},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the asymptotics of solutions to the second initial boundary value problem for Schrödinger systems in domains with conical points},
url = {http://eudml.org/doc/251363},
volume = {58},
year = {2013},
}
TY - JOUR
AU - Hung, Nguyen Manh
AU - Long, Hoang Viet
AU - Son, Nguyen Thi Kim
TI - On the asymptotics of solutions to the second initial boundary value problem for Schrödinger systems in domains with conical points
JO - Applications of Mathematics
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 1
SP - 63
EP - 91
AB - 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.
LA - eng
KW - second initial boundary value problem; Schrödinger systems; generalized solution; regularity; asymptotic behavior; second initial boundary value problem; Schrödinger system; generalized solution; regularity; asymptotic behavior
UR - http://eudml.org/doc/251363
ER -
References
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