Optimal measures for the fundamental gap of Schrödinger operators

Nicolas Varchon

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 16, Issue: 1, page 194-205
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Varchon, Nicolas. "Optimal measures for the fundamental gap of Schrödinger operators." ESAIM: Control, Optimisation and Calculus of Variations 16.1 (2010): 194-205. <http://eudml.org/doc/250722>.

@article{Varchon2010,
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. },
author = {Varchon, Nicolas},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Schrödinger operator; eigenvalue problems; measure theory; shape optimization; measure theory},
language = {eng},
month = {1},
number = {1},
pages = {194-205},
publisher = {EDP Sciences},
title = {Optimal measures for the fundamental gap of Schrödinger operators},
url = {http://eudml.org/doc/250722},
volume = {16},
year = {2010},
}

TY - JOUR
AU - Varchon, Nicolas
TI - Optimal measures for the fundamental gap of Schrödinger operators
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/1//
PB - EDP Sciences
VL - 16
IS - 1
SP - 194
EP - 205
AB - 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.
LA - eng
KW - Schrödinger operator; eigenvalue problems; measure theory; shape optimization; measure theory
UR - http://eudml.org/doc/250722
ER -

References

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