Convergence to the poisson kernel for the laplace equation with a nonlinear dynamical boundary condition

Fila Marek, Kazuhiro Ishige, Tatsuki Kawakami

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

We study the large time behavior of positive solutions for the Laplace equation on the half-space with a nonlinear dynamical boundary condition. We show the convergence to the Poisson kernel in a suitable sense provided initial data are sufficiently small.

Original languageEnglish
Pages (from-to)1285-1301
Number of pages17
JournalCommunications on Pure and Applied Analysis
Volume11
Issue number3
DOIs
Publication statusPublished - 2012 May

Keywords

  • Dynamical boundary conditions
  • Laplace equation
  • Poisson kernel

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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