This paper derives inequalities for multiple integrals from which sharp inequalities for ratios of heat kernels and integrals of heat kernels of certain Schro dinger operators follow. Such ratio inequalities imply sharp inequalities for spectral gaps. The multiple integral inequalities, although ver
✦ LIBER ✦
Sharp Inequalities for Ratios of Partition Functions of Schrödinger Operators
✍ Scribed by Dahae You
- Book ID
- 110402755
- Publisher
- Springer Netherlands
- Year
- 2003
- Tongue
- English
- Weight
- 192 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0926-2601
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Sharp Inequalities for Heat Kernels of S
✍
Rodrigo Bañuelos; Pedro J. Méndez-Hernández
📂
Article
📅
2000
🏛
Elsevier Science
🌐
English
⚖ 208 KB
Weighted inequalities for negative power
✍
B. Bongioanni; E. Harboure; O. Salinas
📂
Article
📅
2008
🏛
Elsevier Science
🌐
English
⚖ 247 KB
Logarithmic Sobolev inequalities and the
✍
O.S Rothaus
📂
Article
📅
1981
🏛
Elsevier Science
🌐
English
⚖ 580 KB
Critical potentials of the eigenvalue ra
✍
Songbo Hou
📂
Article
📅
2009
🏛
Elsevier Science
🌐
English
⚖ 300 KB
In this paper, we consider an operator H defined on a compact smooth n-manifold M by H = -+ q acting on functions with Dirichlet or Neumann boundary conditions in the case ∂ M = ∅ and with eigenvalues λ 1 (q) < λ 2 (q) ≤ λ 3 (q) ≤ • • •. We investigate critical potentials of the ratio of two consecu
Isoperimetric inequalities for eigenvalu
✍
Benguria, Rafael D.; Linde, Helmut; Loewe, Benjamín
📂
Article
📅
2012
🏛
World Scientific
🌐
English
⚖ 620 KB
Regularity for Eigenfunctions of Schrödi
✍
Ammann, Bernd; Carvalho, Catarina; Nistor, Victor
📂
Article
📅
2012
🏛
Springer
🌐
English
⚖ 396 KB