Grow-up on the Boundary for a Semilinear Parabolic Problem

@inproceedings{Fila2005GrowupOT,
  title={Grow-up on the Boundary for a Semilinear Parabolic Problem},
  author={Marek Fila and J. J. L. Vel{\'a}zquez and Michael Winkler},
  year={2005}
}
We study the asymptotic behavior of positive solutions of a semilinear parabolic equation with a nonlinear boundary condition. This problem admits a unique stationary solution which is not bounded and attracts all positive solutions. We find their growth rate at the singular point on the boundary.