Polynomial decay for coupled Schrödinger equations with variable coefficients and damped by one Dirichlet boundary feedback
Hamchi, Ilhem
Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, p. 593-606 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
The main purpose of this paper is to study, under a suitable geometric conditions, the indirect boundary stabilization for coupled Schrödinger equations with variable coefficients and one Dirichlet boundary feedback. The polynomial energy decay rate for smooth solutions is obtained by the combination of the Riemannian geometry method in $\left[ Ya1\right] $ and the ideas of I. Lasiecka and R. Triggiani in $\left[ LT3\right].
Publié le : 2010-08-15
Classification:  Indirect damping,  Riemannian geometry,  Dirichlet boundary feedback,  93D15,  35Q40,  42B15 
@article{1290608189,
     author = {Hamchi, Ilhem},
     title = {Polynomial decay for coupled Schr\"odinger equations with variable
coefficients and damped by one Dirichlet boundary feedback},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {17},
     number = {1},
     year = {2010},
     pages = { 593-606},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1290608189}
}

Hamchi, Ilhem. Polynomial decay for coupled Schrödinger equations with variable
coefficients and damped by one Dirichlet boundary feedback. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp.  593-606. http://gdmltest.u-ga.fr/item/1290608189/