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Optimal measures for the fundamental gap of Schrödinger operators
Published online by Cambridge University Press: 19 December 2008
Abstract
We study the potential which minimizes the fundamental gap of the Schrödinger operator under the total mass constraint. We consider the relaxed potential and prove a regularity result for the optimal one, we also give a description of it. A consequence of this result is the existence of an optimal potential under L1 constraints.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 16 , Issue 1 , January 2010 , pp. 194 - 205
- Copyright
- © EDP Sciences, SMAI, 2008