Abstract
The purpose of this paper is to show that the randomized weighted p-Laplacian evolution equation given by
for \(\P \)-a.e. \(\omega \in \Omega \) and a.e. \(t \in (0,\infty )\) admits a unique strong solution and to determine asymptotic properties of this solution.
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Nerlich, A. A randomized weighted \({\varvec{p}}\)-Laplacian evolution equation with Neumann boundary conditions. Nonlinear Differ. Equ. Appl. 25, 31 (2018). https://doi.org/10.1007/s00030-018-0522-x
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DOI: https://doi.org/10.1007/s00030-018-0522-x
Keywords
- Randomized evolution equation
- Nonlinear evolution equation
- Asymptotic results
- Tail function behavior
- Weighted p-Laplace evolution equation
- Neumann boundary conditions