On some new spectral estimates for Schrödinger-like operators

Daniel Levin

Open Mathematics (2006)

  • Volume: 4, Issue: 1, page 123-137
  • ISSN: 2391-5455

Abstract

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We prove the analog of the Cwikel-Lieb-Rozenblum estimate for a wide class of second-order elliptic operators by two different tools: Lieb-Thirring inequalities for Schrödinger operators with matrix-valued potentials and Sobolev inequalities for warped product spaces.

How to cite

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Daniel Levin. "On some new spectral estimates for Schrödinger-like operators." Open Mathematics 4.1 (2006): 123-137. <http://eudml.org/doc/268720>.

@article{DanielLevin2006,
abstract = {We prove the analog of the Cwikel-Lieb-Rozenblum estimate for a wide class of second-order elliptic operators by two different tools: Lieb-Thirring inequalities for Schrödinger operators with matrix-valued potentials and Sobolev inequalities for warped product spaces.},
author = {Daniel Levin},
journal = {Open Mathematics},
keywords = {35P15; 47F05},
language = {eng},
number = {1},
pages = {123-137},
title = {On some new spectral estimates for Schrödinger-like operators},
url = {http://eudml.org/doc/268720},
volume = {4},
year = {2006},
}

TY - JOUR
AU - Daniel Levin
TI - On some new spectral estimates for Schrödinger-like operators
JO - Open Mathematics
PY - 2006
VL - 4
IS - 1
SP - 123
EP - 137
AB - We prove the analog of the Cwikel-Lieb-Rozenblum estimate for a wide class of second-order elliptic operators by two different tools: Lieb-Thirring inequalities for Schrödinger operators with matrix-valued potentials and Sobolev inequalities for warped product spaces.
LA - eng
KW - 35P15; 47F05
UR - http://eudml.org/doc/268720
ER -

References

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