June 25, 2024Open Access

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

Key Points

Key points are not available for this paper at this time.

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.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Biagi et al. (Tue,) studied this question.

synapsesocial.com/papers/68e636c5b6db6435875c8bed https://doi.org/https://doi.org/10.48550/arxiv.2406.17731

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Blow-up criteria for the semilinear parabolic equations driven by mixed local-nonlocal operators2025
2EXISTENCE OF SOLUTIONS FOR NONLINEAR EQUATIONS WITH MIXED LOCAL AND NONLOCAL OPERATORS2026
3Sharp behavior of semilinear damped wave equations driven by mixed local-nonlocal operators2025
4The principal eigenvalue of a mixed local and nonlocal operator with drift2024
5Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation2025

Bookmark

View Full Paper