An upper bound for the waiting time for doubly nonlinear parabolic equations
Kianhwa C. Djie
RWTH Aachen, Germany
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Abstract
We obtain an upper bound for the waiting time for the doubly nonlinear parabolic equations
depending on the growth of the initial value with parameters , and . This upper bound coincides with the lower bound given by Giacomelli–Grün [4]. Therefore it is optimal. Special cases are the porous medium equation (for ) for which we obtain the result of Chipot–Sideris [2] and the parabolic -Laplace equation (for ).
Cite this article
Kianhwa C. Djie, An upper bound for the waiting time for doubly nonlinear parabolic equations. Interfaces Free Bound. 9 (2007), no. 1, pp. 95–105
DOI 10.4171/IFB/157