January/February 2013 Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition
M. Fila, K. Ishige, T. Kawakami
Adv. Differential Equations 18(1/2): 69-100 (January/February 2013). DOI: 10.57262/ade/1355867482

Abstract

The main purpose of the paper is to study the large-time behavior of positive solutions of a semilinear elliptic equation with a dynamical boundary condition. We show that small solutions behave asymptotically like suitable multiples of the Poisson kernel.

Citation

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M. Fila. K. Ishige. T. Kawakami. "Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition." Adv. Differential Equations 18 (1/2) 69 - 100, January/February 2013. https://doi.org/10.57262/ade/1355867482

Information

Published: January/February 2013
First available in Project Euclid: 18 December 2012

zbMATH: 1281.35051
MathSciNet: MR3052711
Digital Object Identifier: 10.57262/ade/1355867482

Subjects:
Primary: 35B40 , 35J60

Rights: Copyright © 2013 Khayyam Publishing, Inc.

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Vol.18 • No. 1/2 • January/February 2013
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