A probability approach to the heat equation
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- by J. L. Doob PDF
- Trans. Amer. Math. Soc. 80 (1955), 216-280 Request permission
References
- J. L. Doob, Stochastic processes, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1953. MR 0058896
- J. L. Doob, Semimartingales and subharmonic functions, Trans. Amer. Math. Soc. 77 (1954), 86–121. MR 64347, DOI 10.1090/S0002-9947-1954-0064347-X
- J. L. Doob, Martingales and one-dimensional diffusion, Trans. Amer. Math. Soc. 78 (1955), 168–208. MR 70885, DOI 10.1090/S0002-9947-1955-0070885-7
- Robert Fortet, Les fonctions aléatoires du type de Markoff associées à certaines équations linéaires aux dérivées partielles du type parabolique, J. Math. Pures Appl. (9) 22 (1943), 177–243 (French). MR 12392
- Philip Hartman and Aurel Wintner, On the solutions of the equation of heat conduction, Amer. J. Math. 72 (1950), 367–395. MR 36412, DOI 10.2307/2372040
- I. Petrowsky, Zur ersten Randwertaufgabe der Wärmeleitungsgleichung, Compositio Math. 1 (1935), 383–419 (German). MR 1556900
- D. V. Widder, Positive temperatures on an infinite rod, Trans. Amer. Math. Soc. 55 (1944), 85–95. MR 9795, DOI 10.1090/S0002-9947-1944-0009795-2
Additional Information
- © Copyright 1955 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 80 (1955), 216-280
- MSC: Primary 60.0X
- DOI: https://doi.org/10.1090/S0002-9947-1955-0079376-0
- MathSciNet review: 0079376