Abstract and Applied Analysis 
Volume 3 (1998), Issue 1-2, Pages 229-236
doi:10.1155/S1085337598000530

A parabolic analogue of Finn's maximum principle

Vasyl V. Kurta1,2

 1Steklov Mathematical Institute, Gubkin Str. 8, Moscow 117966, Russia
2Department of Mathematics, University of South Florida, Tampa 33620-5700, FL, USA
Received 14 October 1998

Abstract

We obtain a parabolic analogue of the well-known maximum principle established by R. Finn for solutions of the minimal surface equation.