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arXiv · 2505.20401

Global and nonglobal solutions for a mixed local-nonlocal heat equation

Brandon Carhuas·Ricardo Castillo·Ricardo Freire·Alex Lira·Miguel Loayza
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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.

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Brandon Carhuas, Ricardo Castillo, Ricardo Freire, Alex Lira, Miguel Loayza. 2025-05-26. Global and nonglobal solutions for a mixed local-nonlocal heat equation. https://arxiv.org/abs/2505.20401

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