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math.AP2026
A Lagrangian superposition principle for the continuity equation with reaction
Stefano Almi, Giacomo Enrico Sodini
We study the continuity equation with reaction on , driven by Borel velocity and reaction fields and . We…
math.AP2025
Global well-posedness for a time-fractional doubly nonlinear equation
Goro Akagi, Giacomo Enrico Sodini, Ulisse Stefanelli
We consider a time-fractional parabolic equation of doubly nonlinear type, featuring nonlinear terms both inside and outside the differential operator in time. The main nonlinearit…