2 papers
math.AP2026
Abstract integrodifferential equations and applications
Bruno de Andrade, Marcos Gabriel de Santana
In this work, we study the initial value problem associated with an abstract integrodifferential equation in interpolation scales. We prove local-in-time existence, uniqueness, con…
math.AP2024
On the Helmholtz decomposition in Morrey and block spaces
Lucas C. F. Ferreira, Marcos G. Santana
In this work, we obtain the Helmholtz decomposition for vector fields in Morrey, Zorko, and block spaces over bounded or exterior domains. Generally speaking, our proofs re…