In this paper, we study an anomalous diffusion model of Kirchhoff type driven by a nonlocal integro-differential operator, which is an initial--boundary value problem. Under some appropriate conditions, the well-posedness of solutions for the problem is studied by employing the sub-differential approach. Finally, the large-time behavior and extinction of solutions are also investigated.
A diffusion problem of Kirchhoff type involving the nonlocal fractional p-Laplacian
PUCCI, Patrizia;
2017
Abstract
In this paper, we study an anomalous diffusion model of Kirchhoff type driven by a nonlocal integro-differential operator, which is an initial--boundary value problem. Under some appropriate conditions, the well-posedness of solutions for the problem is studied by employing the sub-differential approach. Finally, the large-time behavior and extinction of solutions are also investigated.File in questo prodotto:
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