Consider the Schr6dinger operator H= (A/2)+ q in a bounded C 1,~ domain D with q e K~ °c. (D, q) satisfies the condition: sup[spec((A/2) + q)lD] < 0. Let V and G denote the Green functions in D for H and L1/2, respectively. We prove that where (xr) is the conditioned Brownian motion starting at x a
✦ LIBER ✦
Conditional Gauge and Potential Theory for the Schrödinger Operator
✍ Scribed by M. Cranston, E. Fabes and Z. Zhao
- Book ID
- 125691114
- Publisher
- American Mathematical Society
- Year
- 1988
- Tongue
- English
- Weight
- 495 KB
- Volume
- 307
- Category
- Article
- ISSN
- 0002-9947
- DOI
- 10.2307/2000757
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