Funaki, Tadahisa Probabilistic construction of the solution of some higher order parabolic differential equation. (English) Zbl 0433.35039 Proc. Japan Acad., Ser. A 55, 176-179 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 51 Documents MSC: 35K99 Parabolic equations and parabolic systems 35R60 PDEs with randomness, stochastic partial differential equations 60J65 Brownian motion Keywords:probabilistic construction of the solution; higher order parabolic differential equation; uniformly elliptic differential operator; Brownian motion PDFBibTeX XMLCite \textit{T. Funaki}, Proc. Japan Acad., Ser. A 55, 176--179 (1979; Zbl 0433.35039) Full Text: DOI References: [1] S. Bochner: Harmonic Analysis and the Theory of Probability. Univ. of California Press (1955). · Zbl 0068.11702 [2] K. Hochberg: A signed measure on path space related to Wiener measure. Ann. Prob., 6, 433-458 (1978). · Zbl 0378.60030 · doi:10.1214/aop/1176995529 [3] E. Nelson: A functional calculus using singular Laplace integrals. Trans. Amer. Math. Soc, 88, 400-413 (1958). · Zbl 0081.33501 · doi:10.2307/1993224 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.