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A maximum principle related to level surfaces of solutions of parabolic equations

Part of: Partial differential equations

Published online by Cambridge University Press:  09 April 2009

Carlo Pucci
Carlo Pucci
Affiliation:
Instituto Matematico, “Ulisse Dini”, Universita Degli Studi 50134, Firenze, Italy
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Abstract

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Let u be a solution of a parabolic equation ut = 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.

MSC classification

Secondary: 35B50: Maximum principles
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 46 , Issue 1 , February 1989 , pp. 1 - 7
Copyright
Copyright © Australian Mathematical Society 1989

References

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