Ill-posedness issue for a multidimensional hyperbolic-parabolic model of chemotaxis in critical Besov spaces \(\dot{B}_{2 d , 1}^{- \frac{ 3}{ 2}} \times ( \dot{B}_{2 d , 1}^{- \frac{ 1}{ 2}} )^d\)

DOI10.1016/j.jmaa.2021.125539zbMath1485.35359OpenAlexW3185970614WikidataQ115570198 ScholiaQ115570198MaRDI QIDQ2235967

Yao Nie, Jia Yuan

Publication date: 22 October 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.2021.125539

zbMATH Keywords

chemotaxisBesov spacesill-posednessnorm inflationparabolic-hyperbolic

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ill-posed problems for PDEs (35R25)

Related Items (4)

Ill-posedness of a multidimensional chemotaxis system in the critical Besov spaces ⋮ Ill-posedness issue on a multidimensional chemotaxis equations in the critical Besov spaces ⋮ Global existence of large solutions for the parabolic-elliptic Keller-Segel system in Besov type spaces ⋮ Ill-posedness of the hyperbolic Keller-Segel model in Besov spaces

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