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WEAK-STRONG UNIQUENESS FOR A CLASS OF DEGENERATE PARABOLIC CROSS-DIFFUSION SYSTEMS

Abstract : 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.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03710966
Contributor : Philippe Laurençot Connect in order to contact the contributor
Submitted on : Friday, July 1, 2022 - 9:46:15 AM
Last modification on : Monday, July 4, 2022 - 9:42:24 AM

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  • HAL Id : hal-03710966, version 1
  • ARXIV : 2207.00361

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Philippe Laurençot, Bogdan-Vasile Matioc. WEAK-STRONG UNIQUENESS FOR A CLASS OF DEGENERATE PARABOLIC CROSS-DIFFUSION SYSTEMS. 2022. ⟨hal-03710966⟩

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