科研之友
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摘要
In this paper we present the higher-order Feynman-Kac formula for solving the equation (Delta+V)(m) u=0 in a domain D. Probabilistic representation implies some a priori bounds on the growth of solutions when the domain D extends to R(d). The estimations of moments of random time to reach a high level for Bessel processes are used to establish a weak dependence of polyharmonic functions of some boundary values.
- 出版日期2010
