Global solutions to semilinear parabolic equations driven by mixed local-nonlocal operators
Abstract
We are concerned with the Cauchy problem for the semilinear parabolic equation driven by the mixed local-nonlocal operator L = -+(-)s, 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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