Global solutions to semilinear parabolic equations driven by mixed local–nonlocal operators
Abstract We are concerned with the Cauchy problem for the semilinear parabolic equation driven by the mixed local–nonlocal operator , 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.
Authors
- Eugenio Vecchi (ORCID: https://orcid.org/0000-0002-6919-7564)
- Stefano Biagi (ORCID: https://orcid.org/0000-0002-9694-2566)
- Fabio Punzo (ORCID: https://orcid.org/0000-0001-8596-894X)
Institutions
- University of Bologna (IT)
- Politecnico di Milano (IT)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2024-11-26
- DOI
- https://doi.org/10.1112/blms.13196
- Citations
- 7
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 6.23