Simplifying the structure of second order partial differential equations
HTML articles powered by AMS MathViewer
- by Avner Friedman PDF
- Trans. Amer. Math. Soc. 99 (1961), 303-307 Request permission
References
-
R. Courant and D. Hilbert, Methoden der mathematischen Physik, vol. 2, Berlin, Julius Springer, 1937.
- F. G. Dressel, The fundamental solution of the parabolic equation, Duke Math. J. 7 (1940), 186–203. MR 3340
- Luther Pfahler Eisenhart, Riemannian Geometry, Princeton University Press, Princeton, N. J., 1949. 2d printing. MR 0035081
- Richard L. Ingraham, The geometry of the linear partial differential equation of the second order, Amer. J. Math. 75 (1953), 691–698. MR 60284, DOI 10.2307/2372543
- Richard L. Ingraham, The geometry of the heat equation, Compositio Math. 12 (1954), 147–156. MR 68714
- Yoshihito Ishii, On conharmonic transformations, Tensor (N.S.) 7 (1957), 73–80. MR 102837
- Norman Meyers and James Serrin, The exterior Dirichlet problem for second order elliptic partial differential equations, J. Math. Mech. 9 (1960), 513–538. MR 0117421, DOI 10.1512/iumj.1960.9.59029
- Louis Nirenberg, A strong maximum principle for parabolic equations, Comm. Pure Appl. Math. 6 (1953), 167–177. MR 55544, DOI 10.1002/cpa.3160060202
- Hidehiko Yamabe, On a deformation of Riemannian structures on compact manifolds, Osaka Math. J. 12 (1960), 21–37. MR 125546
Additional Information
- © Copyright 1961 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 99 (1961), 303-307
- MSC: Primary 35.10
- DOI: https://doi.org/10.1090/S0002-9947-1961-0166463-4
- MathSciNet review: 0166463