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Further regularity and uniqueness results for a non-isothermal Cahn--Hilliard equation
2020, Ipocoana, Erica, Zafferi, Andrea
The aim of this paper is to establish new regularity results for a non-isothermal Cahn--Hilliard system in the two-dimensional setting. The main achievement is a crucial L∞ estimate for the temperature, obtained by a suitable Moser iteration scheme. Our results in particular allow us to get a new simplified version of the uniqueness proof for the considered model.