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The Feynman-Kac formula for a system of parabolic equations
Czechoslovak Mathematical Journal, Tome 44 (1994) no. 4, pp. 579-602
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DOI : 10.21136/CMJ.1994.128499
Classification : 35C99, 35K15, 35K45, 60H30, 60J35 
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Kahane, Charles S. The Feynman-Kac formula for a system of parabolic equations. Czechoslovak Mathematical Journal, Tome 44 (1994) no. 4, pp. 579-602. doi: 10.21136/CMJ.1994.128499

[1] R. Ash and M. Gardner: Topics in Stochastic Processes. Academic Press, New York, 1975. | MR

[2] P. Billingsley: Probability and Measure, 2nd Edition. John Wiley and Sons, New York, 1986. | MR

[3] K. L. Chung: A Course in Probability Theory, 2nd Edition. Academic Press, New York, 1974. | MR

[4] R. Durrett: Brownian Motion and Martingales in Analysis. Wadsworth Inc., Belmont, 1984. | MR | Zbl

[5] G. B. Folland: Real Analysis. John Wiley and Sons, New York, 1984. | MR | Zbl

[6] M. Freidlin: Functional Integration and Partial Differential Equations. Princeton University Press, Princeton, 1985. | MR | Zbl

[7] A. Friedman: Partial Differential Equations of Parabolic Type. Prentice Hall Inc., Englewood Cliffs, 1964. | MR | Zbl

[8] A. Friedman: Stochastic Differential Equations and Applications, Volume 1. Academic Press, New York, 1975. | MR

[9] R. Hersh: Random evolutions: a survey of results and problems. Rocky Mtn. J. Math. 4 (1974), 443–477. | DOI | MR | Zbl

[10] M. Kac: Probability and Related Topics in the Physical Sciences. John Wiley and Sons, New York, 1960. | MR

[11] V. P. Mikhailov: Partial Differential Equations. Mir Publishers, Moscow, 1978. | MR

[12] E. Nelson: Feynman integrals and the Schrödinger equation. J. Math. Phys. 5 (1964), 332–343. | DOI | MR | Zbl

[13] S. Orey: Probabilistic methods in partial differential equations. Studies in Partial Differential Equations, W. Littman (ed.), The Mathematical Association of America, 1982, pp. 143–205. | MR | Zbl

[14] B. Simon: Functional Integration and Quantum Mechanics. Academic Press, New York, 1979. | MR

[15] B. Simon: Schrödinger semigroups. Bull. Am. Math. Soc. 7 (1982), 447–526. | DOI | Zbl

[16] H. F. Trotter: On the product of semigroups of operators. Proc. Amer. Math. Soc. 10 (1959), 545–551. | DOI | MR

[17] J. Yeh: Stochastic Processes and the Wiener Integral. Marcel Dekker Inc., New York, 1973. | MR | Zbl

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