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带有随机边界的h-Schrdinger方程的解 被引量:1

THE SOLUTION OF H-SCHRODINGER EQUATIONS WITH STOCHUSTIC BOUNDARY CONDITIONS
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摘要 利用条件扩散过程和条件Feynman-Kac泛函,采用鞅方法,讨论带有随机边界的hSchrdinger方程的古典解,求出了解的具体表达式,并对条件扩散的鞅特性及生命时进行了研究。 In this paper, We discuss the classical solution of the solvability of h-Schroinger equation with stochustic boundary conditions, by using the Conditional diffusion process, conditional Feynman-Kac functional and martingale, the actual expressive solution is obtained, and in the meantime we investigate the martingale property of conditional diffusions and the lifetime.
出处 《郑州轻工业学院学报》 1993年第2期77-83,共7页 Journal of Zhengzhou Institute of Light Industry(Natural Science)
关键词 条件扩散 生命时 随机边界 conditional diffusion, conditional Feynman-Kac functional, h-Schrodinger equation, lifetime
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参考文献2

  • 1Guanglu Gong,Minping Qian,Zhongxin Zhao. Killed diffusions and their conditioning[J] 1988,Probability Theory and Related Fields(1):151~167
  • 2Rodrigro Ba?uelos. On an estimate of Cranston and McConnell for elliptic diffusions in uniform domains[J] 1987,Probability Theory and Related Fields(3):311~323

同被引文献5

  • 1Gong G l.Killed diffusions and its conditions prob[J].Th Rel Fieds,1988,80:151-167.
  • 2Doob J L.Classical potential theory and its probability counterpart[M].New York:Springer-verlag,1984.
  • 3Delassic R D.Doob's conditional diffusions and their lifetime[J].Annals of probability,1988,16(3):1063-1083.
  • 4Stewart N.Markov process characterization and conversence[M].New York:Springer-verlag,1985.
  • 5秦永军.Schrdinger型方程的半显式格式[J].河南师范大学学报(自然科学版),1997,25(2):82-83. 被引量:1

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