The higher integrability of weak solutions of critical Choquard parabolic equations

Boudjeriou, Tahir2026-01-19202516617738https://dspace.univ-boumerdes.dz/handle/123456789/15962In 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 behaviorenAsymptotic behaviorBoundedness of solutionsChoquard equationsHigher integrabilityThe higher integrability of weak solutions of critical Choquard parabolic equationsArticle