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.
A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity
D'Abbicco, Marcello
;Lagioia, Antonio
2026-01-01
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.File in questo prodotto:
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