A note on the spatial decay of a three-dimensional minimal surface over a semi-infinite cylinder
type: Item
instance of: scholarly article
title: A note on the spatial decay of a three-dimensional minimal surface over a semi-infinite cylinder
zbMATH Open document ID: 0585.35004
DOI: 10.1016/0022-247X(85)90369-5
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: The author extends to solutions of the three-dimensional minimal surface equation for a semi-infinite cylinder with a simply-connected and convex section some estimates concerning the spatial decay at infinity for solutions of the two-dimensional equation on a strip due to Knowles (cf. references). Roughly speaking, the result says that solutions decay exponentially in the third variable at least as fast as do solutions of Laplace's equation. The proof is carried out by using a comparison theorem for second order nonlinear equations.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 3937619
zbMATH Keywords: Phragmén-Lindelöf theorems
zbMATH Keywords: three-dimensional minimal surface equation
zbMATH Keywords: decay exponentially
zbMATH Keywords: comparison theorem
author: Cornelius O. Horgan
reviewed by: Jesús Hernández
MaRDI profile type: Publication
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full work available at URL: 0022-247x(85)90369-5
OpenAlex ID: W2057602839
description: scientific article; zbMATH DE number 3937619