Convergence to the Poisson kernel for the Laplace equation with a nonlinear dynamical boundary condition
Марек Фила, Kazuhiro Ishige, Tatsuki Kawakami · Communications on Pure & Applied Analysis · 2012
We study the large time behavior of positive solutions forthe 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 dataare sufficiently small.