Abstract
This note deals with a one-dimensional quasilinear chemotaxis system. The first part summarizes recent results, in which a new energy-like functional is introduced and plays a key role. In the latter half, the energy-like functional will be derived in a more general situation.
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Acknowledgements
The author is supported by Japan Society for the Promotion of Science (Grant-in-Aid for Early-Career Scientists; No. 19K14576).
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Fujie, K. (2021). Energy-Like Functional in a Quasilinear Parabolic Chemotaxis System. In: Ferone, V., Kawakami, T., Salani, P., Takahashi, F. (eds) Geometric Properties for Parabolic and Elliptic PDE's. Springer INdAM Series, vol 47. Springer, Cham. https://doi.org/10.1007/978-3-030-73363-6_4
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