Large Time Behavior of¶Schrödinger Heat Kernels and Applications
✍ Scribed by Qi S. Zhang
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 198 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0010-3616
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📜 SIMILAR VOLUMES
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
We obtain global in time bounds for the heat kernel G of the Schro dinger operator L=&2+V. The potential V satisfies V(x)t &CÂd(x) b near infinity with b # (0, ). The result can be described as follows. Suppose L is positive and b=2. Then G=G(x, t; y, 0) has a global upper bound which is a standard