The authors establish local well-posedness in Orlicz spaces for exponential nonlinearity, global existence for small data, and large-time decay rates in Lebesgue spaces for the mixed operator heat equation.
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Heat equations driven by mixed local-nonlocal operators with exponential nonlinearity
The authors establish local well-posedness in Orlicz spaces for exponential nonlinearity, global existence for small data, and large-time decay rates in Lebesgue spaces for the mixed operator heat equation.