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IMA Journal of Mathematical Control and Information 2003 20(3):335-345; doi:10.1093/imamci/20.3.335
© 2003 by Institute of Mathematics and its Applications
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Uniform energy decay of Schrödinger equations with variable coefficients

S. E. Rebiai1

1 Department of Mathematics, Faculty of Sciences, University of Batna, 05000 Batna, Algeria

This paper establishes the exponential decay of the solutions of the Schrödinger equation with variable coefficients in the principal part subject to dissipative feedback acting in the Dirichlet boundary condition. The approach adopted uses a lifting argument in the topology of the solution along with Riemannian geometry method.

Keywords: Schrödinger equation; boundary stabilization; exponential stability; Riemannian manifold.


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