J Austral Math Soc Ser A 46 pp1--7, 1989.

A Maximum Principle Related to Level Surfaces of Solutions of Parabolic Equations

Carlo Pucci

(Received 15 October 1986)

Abstract

Let u be a solution of a parabolic equation u_t = F(u, Du, D²u). Under convenient hypotheses it is proved that the angle between a given direction and the normal to the level surfaces of u(·, t) satisfies a maximum principle.

1980 AMS Subject Classification (1985 Revision): 35B50

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Authors

Carlo Pucci: Instituto Mathematico, "Ulisse Dini", University Degli Sutdi, 50134, Firenze, Italy.

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Last Modified: Wed Feb 19 10:27:50 2003