We are concerned with the Cauchy problem for the semilinear parabolic equation driven by the mixed local–nonlocal operator (Formula presented.), 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.
Global solutions to semilinear parabolic equations driven by mixed local–nonlocal operators
Biagi S.;Punzo F.;
2025-01-01
Abstract
We are concerned with the Cauchy problem for the semilinear parabolic equation driven by the mixed local–nonlocal operator (Formula presented.), 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.File in questo prodotto:
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