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Uniform boundedness of conditional gauge and Schrödinger equations

✍ Scribed by Zhongxin Zhao


Publisher
Springer
Year
1984
Tongue
English
Weight
492 KB
Volume
93
Category
Article
ISSN
0010-3616

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📜 SIMILAR VOLUMES


Green function for Schrödinger operator
✍ Zhongxin Zhao 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 704 KB

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