Well-posedness and Gevrey analyticity of the generalized Keller-Segel system in critical Besov spaces

DOI10.1007/s10231-017-0691-yzbMath1394.35068arXiv1508.00117OpenAlexW2963321679MaRDI QIDQ2413460

Ji-Hong Zhao

Publication date: 10 April 2018

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00117

zbMATH Keywords

fractional diffusionparabolic-elliptic systemDuhamel's formulaBony's paraproduct decomposition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with biology, chemistry and other natural sciences (35Q92) A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Fractional partial differential equations (35R11) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (8)

Well-posedness and blow-up of solutions for the 2D dissipative quasi-geostrophic equation in critical Fourier-Besov-Morrey spaces ⋮ Optimal Gevrey regularity for supercritical quasi-geostrophic equations ⋮ Gevrey class regularity and stability for the Debye-H¨uckel system in critical Fourier-Besov-Morrey spaces ⋮ Global existence of large solutions for the generalized Poisson-Nernst-Planck equations ⋮ Keller-Segel chemotaxis models: a review ⋮ On a drift-diffusion system for semiconductor devices ⋮ The optimal temporal decay estimates for the fractional power dissipative equation in negative Besov spaces ⋮ Global well-posedness, Gevrey class regularity and large time asymptotics for the dissipative quasi-geostrophic equation in Fourier-Besov spaces

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