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- W4299968178 abstract "In this work we consider the Keller-Segel model for chemotaxis on networks, both in the doubly parabolic case and in the parabolic-elliptic one. Introducing appropriate transition conditions at vertices, we prove the existence of a time global and spatially continuous solution for each of the two systems. The main tool is the use of the explicit formula for the fundamental solution of the heat equation on a weighted graph and of the corresponding sharp estimates." @default.
- W4299968178 created "2022-10-03" @default.
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- W4299968178 date "2015-11-23" @default.
- W4299968178 modified "2023-10-17" @default.
- W4299968178 title "Parabolic models for chemotaxis on weighted networks" @default.
- W4299968178 doi "https://doi.org/10.48550/arxiv.1511.07279" @default.
- W4299968178 hasPublicationYear "2015" @default.
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