×

Differential and stochastic equations in abstract Wiener space. (English) Zbl 0243.35017


MSC:

35G05 Linear higher-order PDEs
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Daletskii, Yu. L., Russian Math. Surveys, 22, 1-53 (1967) · Zbl 0164.41304
[2] Donsker, M. D., Analysis in Function Space, Chapter 2, ((1964), M.I.T. Press: M.I.T. Press Cambridge, MA), 17-30
[3] J. Glimm; J. Glimm
[4] Gross, L., (Contributions to Probability Theory (1967), Univ. California Press: Univ. California Press Berkeley, CA), 31-42 · Zbl 0187.40903
[5] Gross, L., Potential theory on Hilbert space, J. Functional Analysis, 1, 123-181 (1967) · Zbl 0165.16403
[6] Kac, M., On distributions of certain Wiener functionals, Trans. Amer. Math. Soc., 65, 1-13 (1949) · Zbl 0032.03501
[7] Kac, M., On some connections between probability theory and differential and integral equations, (Proc. second Berkeley Sympos. Math. Statist. and Probability. Proc. second Berkeley Sympos. Math. Statist. and Probability, 1950 (1951)), 189-215
[8] Kuo, H.-H., Stochastic integrals in abstract Wiener space, Pacific J. Math., 41, 469-483 (1972) · Zbl 0226.60076
[9] H.-H. KuoNagoya Math. J.; H.-H. KuoNagoya Math. J.
[10] H.-H. Kuo and M. Ann PiechBull. Amer. Math. Soc.; H.-H. Kuo and M. Ann PiechBull. Amer. Math. Soc. · Zbl 0256.60028
[11] Piech, M. Ann, A fundamental solution of the parabolic equation on Hilbert space, J. Functional Analysis, 3, 85-114 (1969) · Zbl 0169.47103
[12] Piech, M. Ann, Diffusion semigroups on abstract Wiener space, Trans. Amer. Math. Soc., 166, 411-430 (1972) · Zbl 0247.47034
[13] Rosenblatt, M., On a class of Markov processes, Trans. Amer. Math. Soc., 71, 120-135 (1951) · Zbl 0045.07703
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.