A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Authors
- Marcello D’Abbicco (ORCID: https://orcid.org/0000-0003-1369-1157)
- Antonio Lagioia (ORCID: https://orcid.org/0009-0004-0641-974X)
Institutions
- University of Bari Aldo Moro (IT)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2026-08-14
- DOI
- https://doi.org/10.1002/mana.70227
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Ministero dell'Università e della Ricerca