Vol. 211, No. 1, 2003

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Zhiren Jin & Kirk Lancaster

Abstract

We prove a Phragmèn–Lindelöf theorem which yields the behavior at infinity of bounded solutions of Dirichlet problems for non-hyperbolic (e.g., elliptic, parabolic) quasilinear second-order partial differential equations in terms of particular solutions of appropriate ordinary differential equations.

Authors
Zhiren Jin
Department of Mathematics and Statistics
Wichita State University
Wichita, KS 67260-0033
Kirk Lancaster
Department of Mathematics and Statistics
Wichita State University
Wichita, KS 67260-0033