The Huygens property for the heat equation
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- by D. V. Widder PDF
- Trans. Amer. Math. Soc. 232 (1977), 239-244 Request permission
Abstract:
This note summarizes several criteria which guarantee that a solution of the heat equation should also have the semigroup property described in equation (1.2) below. In particular, it corrects a mistake in an earlier proof of one of these.References
- D. V. Widder, The heat equation, Pure and Applied Mathematics, Vol. 67, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1975. MR 0466967
- P. C. Rosenbloom and D. V. Widder, Expansions in terms of heat polynomials and associated functions, Trans. Amer. Math. Soc. 92 (1959), 220–266. MR 107118, DOI 10.1090/S0002-9947-1959-0107118-2
- I. I. Hirschman and D. V. Widder, The convolution transform, Princeton University Press, Princeton, N. J., 1955. MR 0073746
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 232 (1977), 239-244
- MSC: Primary 35K05; Secondary 35C15
- DOI: https://doi.org/10.1090/S0002-9947-1977-0454346-3
- MathSciNet review: 0454346