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arXiv · 2308.14255

Global existence of large solutions for the parabolic-elliptic Keller-Segel system in Besov type spaces

Jihong Zhao
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Abstract

In this paper, we investigate global existence of large solutions for the parabolic-elliptic Keller-Segel system in the homogeneous Besov type spaces. A class of initial data was presented, generating a global smooth solution although the $\dot{B}^{-2}_{\infty,\infty}$-norm of the initial data may be chosen arbitrarily large.

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Jihong Zhao. 2023-08-28. Global existence of large solutions for the parabolic-elliptic Keller-Segel system in Besov type spaces. https://arxiv.org/abs/2308.14255

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