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Functional Feynman-Kac Equations for Limit Lognormal Multifractals

โœ Scribed by Dmitry Ostrovsky


Publisher
Springer
Year
2007
Tongue
English
Weight
364 KB
Volume
127
Category
Article
ISSN
0022-4715

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โœ Zhongxin Zhao ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 704 KB

Consider the Schr6dinger operator H= (A/2)+ q in a bounded C 1,~ domain D with q e K~ ยฐc. (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