DOI: 10.1002/mana.70227 ISSN: 0025-584X
A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity
Marcello D'Abbicco, Antonio LagioiaABSTRACT
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.