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Well-posedness of semilinear heat equations in L1:

Laister, R. ; Sierżęga, M.
Annales de l'Institut Henri Poincaré C, Analyse non linéaire.  37 (2020)  3 - p. 709-725 , 2020
Link: https://doi.org/10.1016/j.anihpc.2019.12.001