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A method of moving planes for a mixed local-nonlocal parabolic system with quenching

Junquera, Sergio et al.
arXiv (All) · Papers
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analysis-of-pdes
In this paper we develop a parabolic version of the method of moving planes on systems with a mixed local and nonlocal diffusion operator, that being $\mathcal{L} = -(-Δ)^s + Δ$, where $(-Δ)^s$ is the integral fractional laplacian. We then use this result to study the quenching phenomena occurring i
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