Abstract
We prove stabilization results for a class of degenerate parabolic problems, in which the diffusivity vanishes beyond a given threshold. One characteristic feature is the onset of dis-continuous stationary solutions, to which solutions of the evolutionary problem are shown to converge for large times. The basic tools are monotonicity, and a thorough analysis of the stationary solutions.
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© 1983 D. Reidel Publishing Company
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de Mottoni, P. (1983). Stabilization Properties for Nonlinear Degenerate Parabolic Equations with Cut-Off Diffusivity. In: Ball, J.M. (eds) Systems of Nonlinear Partial Differential Equations. NATO Science Series C: (closed), vol 111. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7189-9_30
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DOI: https://doi.org/10.1007/978-94-009-7189-9_30
Publisher Name: Springer, Dordrecht
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