Abstract
This paper deals with large time behavior of the Dirichlet problem to the degenerate parabolic equation \({u_t = g(u) \Delta u + f(u)}\) in a bounded domain \({\Omega \subset R^n}\) with smooth boundary \({\partial \Omega}\) . Under suitable conditions on f(u) and g(u), we show that all solutions will converge to the steady state exponentially.
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Chen, S., Xu, R. Large time behavior of solutions to degenerate parabolic equations. Nonlinear Differ. Equ. Appl. 22, 301–309 (2015). https://doi.org/10.1007/s00030-014-0283-0
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DOI: https://doi.org/10.1007/s00030-014-0283-0