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

被引：1

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.

引用

页码：265 / 284

页数：20

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