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 language | English |
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Pages (from-to) | 1285-1301 |
Number of pages | 17 |
Journal | Communications on Pure and Applied Analysis |
Volume | 11 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2012 May |
Keywords
- Dynamical boundary conditions
- Laplace equation
- Poisson kernel
ASJC Scopus subject areas
- Analysis
- Applied Mathematics