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No-Flux Boundary Conditions for Non-local Operators

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Non-Local Cell Adhesion Models

Part of the book series: CMS/CAIMS Books in Mathematics ((CMS/CAIMS BM,volume 1))

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Abstract

It is a challenge to define boundary conditions for non-local models on bounded domains. The periodic case, which we studied in the previous chapters, is an exception, since we can work with periodic extensions outside of the domain. However, no-flux conditions or Dirichlet or Robin boundary conditions need special attention.

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Buttenschön, A., Hillen, T. (2021). No-Flux Boundary Conditions for Non-local Operators. In: Non-Local Cell Adhesion Models. CMS/CAIMS Books in Mathematics, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-030-67111-2_6

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