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The theory of nonlinear diffusion with fractional operators

By Juan Luis Vázquez

Appears in collection : Recent trends in nonlinear evolution equations / Nouvelles perspectives sur les équations d'évolution non linéaires

In this talk I will report on some of the progress made by the author and collaborators on the topic of nonlinear diffusion equations involving long distance interactions in the form of fractional Laplacian operators. The nonlinearities are of the following types: porous medium, fast diffusion or p-Laplacian. Results cover well-posedness, regularity, free bouncadaries, asymptotics, extinction, and others. Differences with standard diffusion have been specially examined.

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  • DOI 10.24350/CIRM.V.18957403
  • Cite this video Vázquez, Juan Luis (05/04/2016). The theory of nonlinear diffusion with fractional operators. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18957403
  • URL https://dx.doi.org/10.24350/CIRM.V.18957403

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