A well-posedness result for a system of cross-diffusion equations

DOI10.1007/s00028-021-00690-6zbMath1470.35183arXiv2011.09186OpenAlexW3159876859MaRDI QIDQ2044685

Christian Seis, Dominik Winkler

Publication date: 10 August 2021

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.09186

zbMATH Keywords

periodic boundary conditionssmall initial datafixed point argument, Carleson-type measureswell-posedness in the class of bounded functions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Derivation of a fractional cross-diffusion system as the limit of a stochastic many-particle system driven by Lévy noise

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