The higher integrability of weak solutions of critical Choquard parabolic equations
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Date
2025
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Publisher
Birkhauser
Abstract
In this paper, we improve upon some results obtained by Zhang et al. (J Dyn Diff Equ https://doi-org.www.sndl1.arn.dz/10.1007/s10884-023-10278-y, 2023). Specifically, we improve the local higher integrability of global weak solutions. Additionally, we establish both local and global boundedness of global weak solutions. Furthermore, we improve the results concerning asymptotic behavior
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Keywords
Asymptotic behavior, Boundedness of solutions, Choquard equations, Higher integrability