2024
DOI: 10.1112/blms.13196
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Global solutions to semilinear parabolic equations driven by mixed local–nonlocal operators

Stefano Biagi,
Fabio Punzo,
Eugenio Vecchi

Abstract: We are concerned with the Cauchy problem for the semilinear parabolic equation driven by the mixed local–nonlocal operator , with a power‐like source term. We show that the so‐called Fujita phenomenon holds, and the critical value is exactly the same as for the fractional Laplacian.

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