Uniqueness for local-nonlocal elliptic equations
Biagi S, Meglioli G, Punzo F (2025)
Communications in Contemporary Mathematics .
Zeitschriftenaufsatz
| E-Veröff. vor dem Druck | Englisch
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Autor*in
Biagi, Stefano;
Meglioli, GiuliaUniBi;
Punzo, Fabio
Einrichtung
Abstract / Bemerkung
We study mixed local and nonlocal elliptic equation with a variable coefficient rho. Under suitable assumptions on the behavior at infinity of rho, we obtain uniqueness of solutions belonging to certain weighted Lebesgue spaces, with a weight depending on the coefficient rho. The hypothesis on rho is optimal; indeed, when it fails we get nonuniqueness of solutions. We also investigate the parabolic counterpart of such equation.
Stichworte
Fractional Laplacian;
mixed local-nonlocal operators;
uniqueness;
weighted Lebesgue spaces;
nonuniqueness
Erscheinungsjahr
2025
Zeitschriftentitel
Communications in Contemporary Mathematics
ISSN
0219-1997
eISSN
1793-6683
Page URI
https://pub.uni-bielefeld.de/record/3000577
Zitieren
Biagi S, Meglioli G, Punzo F. Uniqueness for local-nonlocal elliptic equations. Communications in Contemporary Mathematics . 2025.
Biagi, S., Meglioli, G., & Punzo, F. (2025). Uniqueness for local-nonlocal elliptic equations. Communications in Contemporary Mathematics . https://doi.org/10.1142/S0219199725500178
Biagi, Stefano, Meglioli, Giulia, and Punzo, Fabio. 2025. “Uniqueness for local-nonlocal elliptic equations”. Communications in Contemporary Mathematics .
Biagi, S., Meglioli, G., and Punzo, F. (2025). Uniqueness for local-nonlocal elliptic equations. Communications in Contemporary Mathematics .
Biagi, S., Meglioli, G., & Punzo, F., 2025. Uniqueness for local-nonlocal elliptic equations. Communications in Contemporary Mathematics .
S. Biagi, G. Meglioli, and F. Punzo, “Uniqueness for local-nonlocal elliptic equations”, Communications in Contemporary Mathematics , 2025.
Biagi, S., Meglioli, G., Punzo, F.: Uniqueness for local-nonlocal elliptic equations. Communications in Contemporary Mathematics . (2025).
Biagi, Stefano, Meglioli, Giulia, and Punzo, Fabio. “Uniqueness for local-nonlocal elliptic equations”. Communications in Contemporary Mathematics (2025).
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