Global solutions to semilinear parabolic equations driven by mixed local-nonlocal operators

被引：0
|
作者：
Biagi, Stefano [1 ]
Punzo, Fabio [1 ]
Vecchi, Eugenio [2 ]
机构：
[1] Politecn Milan, Dipartimento Matemat, ViaBonardi 9, I-20133 Milan, Italy
[2] Univ Bologna, Dipartimento Matemat, Bologna, Italy
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2025年 / 57卷 / 01期
关键词：
BLOW-UP; DIFFUSION-EQUATIONS; HARNACK INEQUALITY; CRITICAL EXPONENTS; HEAT-EQUATION; NONEXISTENCE; ASYMPTOTICS;
D O I：
10.1112/blms.13196
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We are concerned with the Cauchy problem for the semilinear parabolic equation driven by the mixed local-nonlocal operator L=-Delta+(-Delta)s$\mathcal {L}= -\Delta +(-\Delta)<^>s$, 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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页码：265 / 284
页数：20
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