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Further regularity and uniqueness results for a non-isothermal Cahn-Hilliard equation

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The work of E. Ipocoana is supported by GNAMPA (Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni) of INdAM (Istituto Nazionale di Alta Matematica), by MIUR through the project FFABR (M. Eleuteri) and by the University of Modena and Reggio Emilia through the project FAR2017 "Equazioni differenziali: problemi evolutivi, variazionali ed applicazioni" (S. Gatti). A. Zafferi acknowledges the funding by the DFG through grant CRC1114 "Scaling Cascades in Complex Systems", Project Number 235221301, Project (C09) "Dynamics of rock dehydration on multiple scales"

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