Geodesic
Weak-strong uniqueness for a class of degenerate parabolic cross-diffusion systems
Archivum mathematicum, Tome 59 (2023) no. 2, pp. 201-213.

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Bounded weak solutions to a particular class of degenerate parabolic cross-diffusion systems are shown to coincide with the unique strong solution determined by the same initial condition on the maximal existence interval of the latter. The proof relies on an estimate established for a relative entropy associated to the system.
DOI : 10.5817/AM2023-2-201
Classification : 35A02, 35K51, 35K65, 35Q35
Keywords: cross diffusion; weak-strong uniqueness; relative entropy 
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     title = {Weak-strong uniqueness for a class of degenerate parabolic cross-diffusion systems},
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Laurençot, Philippe; Matioc, Bogdan-Vasile. Weak-strong uniqueness for a class of degenerate parabolic cross-diffusion systems. Archivum mathematicum, Tome 59 (2023) no. 2, pp. 201-213. doi : 10.5817/AM2023-2-201. http://geodesic.mathdoc.fr/articles/10.5817/AM2023-2-201/

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