Abstract
We study energy solutions of a Cauchy problem for the p-Laplace evolution equation with nonlinear gradient absorption and nonnegative compactly supported initial data. We obtain the sufficient local asymptotic conditions on initial data that imply the backward motion and waiting time phenomena.
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Namlyeyeva, Y.V., Taranets, R.M. Backward motion and waiting time phenomena for degenerate parabolic equations with nonlinear gradient absorption. manuscripta math. 136, 475–500 (2011). https://doi.org/10.1007/s00229-011-0454-9
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DOI: https://doi.org/10.1007/s00229-011-0454-9