A note on the steady state solutions of the heat equation
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- Proc. Amer. Math. Soc. 7 (1956), 766-771 Request permission
References
-
L. Ahlfors, Complex analysis, New York, 1953.
R. Courant and D. Hilbert, Methods of mathematical physics, vol. 1, New York, 1953.
O. D. Kellogg, Foundations of potential theory, New York, 1929.
- A. N. Milgram and P. C. Rosenbloom, Harmonic forms and heat conduction. I. Closed Riemannian manifolds, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 180–184. MR 42769, DOI 10.1073/pnas.37.3.180
- A. N. Milgram and P. C. Rosenbloom, Heat conduction on Riemannian manifolds. II. Heat distribution on complexes and approximation theory, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 435–438. MR 44886, DOI 10.1073/pnas.37.7.435
- Louis Nirenberg, A strong maximum principle for parabolic equations, Comm. Pure Appl. Math. 6 (1953), 167–177. MR 55544, DOI 10.1002/cpa.3160060202 P. C. Rosenbloom, Notes on partial differential equations, University of Minnesota (in preparation). A. Tychonoff, Sur l’équation de la chaleur de plusieurs variables, Bulletin de l’Université d’État de Moscow. I. (1938).
- 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 1956 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 7 (1956), 766-771
- MSC: Primary 35.0X
- DOI: https://doi.org/10.1090/S0002-9939-1956-0081411-7
- MathSciNet review: 0081411