A Phragmèn–Lindelöf theorem and the behavior at infinity of solutions of non-hyperbolic equations

Zhiren Jin and Kirk Lancaster

Vol. 211 (2003), No. 1, 101–121

DOI: 10.2140/pjm.2003.211.101

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.

Milestones

Received: 18 March 2002

Published: 1 September 2003