Article Contents
Article Contents

# Convergence to the Poisson kernel for the Laplace equation with a nonlinear dynamical boundary condition

• 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.
Mathematics Subject Classification: Primary: 47J35, 35R11; Secondary: 35B40, 35J65.

 Citation:

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