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.
Biagi, S., Punzo, F., Vecchi, E. (2024). Global solutions to semilinear parabolic equations driven by mixed local–nonlocal operators. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 57(1), 265-284 [10.1112/blms.13196].
Global solutions to semilinear parabolic equations driven by mixed local–nonlocal operators
Vecchi E.
2024
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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