Geodesic
Existence and smoothness of solutions to second initial boundary value problems for Schrödinger systems in cylinders with non-smooth bases
Electronic journal of differential equations, Tome 2008 (2008)
In this paper, we consider the second initial boundary value problem for strongly general Schrodinger systems in both the finite and the infinite cylinders $Q_T, 0$, with non-smooth base $\Omega$. Some results on the existence, uniqueness and smoothness with respect to time variable of generalized solution of this problem are given.
Classification : 35D05, 35D10, 35G99
Keywords: second initial boundary value problem, Schrödinger systems, generalized solution, existence, uniqueness, smoothness 
@article{EJDE_2008__2008__a51,
     author = {Nguyen Manh Hung and Nguyen Thi Kim Son},
     title = {Existence and smoothness of solutions to second initial boundary value problems for {Schr\"odinger} systems in cylinders with non-smooth bases},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1170.35360},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a51/}
}
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Nguyen Manh Hung; Nguyen Thi Kim Son. Existence and smoothness of solutions to second initial boundary value problems for Schrödinger systems in cylinders with non-smooth bases. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a51/