On the global existence of a generalized Shigesada-Kawasaki-Teramoto system

DOI10.1016/J.JMAA.2021.125856zbMath1480.35281OpenAlexW3216678786MaRDI QIDQ2062594

Yanyan Li

Publication date: 27 December 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125856

zbMATH Keywords

global existenceHölder regularitycross diffusion systems

Mathematics Subject Classification ID

Strong solutions to PDEs (35D35) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Dynamic theory of quasilinear parabolic systems. III: Global existence
• Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion
• Weighted Gagliardo–Nirenberg Inequalities Involving BMO Norms and Solvability of Strongly Coupled Parabolic Systems
• Regularity of BMO weak solutions to nonlinear parabolic systems via homotopy
• Evolution of cross-diffusion and self-diffusion
• Global solution to some quasilinear parabolic system in population dynamics
• Global existence of solutions to Shigesada-Kawasaki-Teramoto cross-diffusion systems on domains of arbitrary dimensions

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