Global and nonglobal solutions for a mixed local-nonlocal heat equation
Analysis of PDEs
2025-05-28 v1
Abstract
In this work, we establish optimal conditions concerning the global and nonglobal existence of solutions of a semilinear parabolic equations governed by a mixed local-nonlocal operator. Furthermore, our findings recover the Fujita exponent recently derived by Biagi, Punzo and Vecchi, as well as by Del Pezzo and Ferreira.
Keywords
Cite
@article{arxiv.2505.20401,
title = {Global and nonglobal solutions for a mixed local-nonlocal heat equation},
author = {Brandon Carhuas and Ricardo Castillo and Ricardo Freire and Alex Lira and Miguel Loayza},
journal= {arXiv preprint arXiv:2505.20401},
year = {2025}
}
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7 pages