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).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2008},
     year = {2008},
     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/