Heat equations driven by mixed local-nonlocal operators with exponential nonlinearity

Dharmendra Kumar Chaurasia, Ahmad Z. Fino, Vishvesh Kumar

We investigate the Cauchy problem for a heat equation driven by the mixed local-nonlocal operator $\mathcal{L}:=-\Delta +(-\Delta {)}^s$, $s\in (0,1)$, with exponential nonlinearity \[ \partial_t…