We establish local continuity of locally bounded weak solutions to a doubly nonlinear parabolic equation that models the temperature in multiphase transitions. The enthalpy allows for general maximal monotone graphs of the temperature. Remarkably, moduli of continuity can be estimated without an explicit form of the enthalpy.

Continuity of the Temperature in a Multi-Phase Transition Problem. Part III

Gianazza, Ugo;
2023-01-01

Abstract

We establish local continuity of locally bounded weak solutions to a doubly nonlinear parabolic equation that models the temperature in multiphase transitions. The enthalpy allows for general maximal monotone graphs of the temperature. Remarkably, moduli of continuity can be estimated without an explicit form of the enthalpy.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1479516
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