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math.AP2026
Smoothing effect and uniqueness for aggregation diffusion models
Stefano Lisini, Edoardo Mainini
We consider aggregation-diffusion models for a density of mass in , , where the diffusion can be either linear or of porous medium type, while the aggregation…
math.AP2025
Existence and finite speed of propagation of solutions for a multi-dimensional fractional thin-film equation
Nicola De Nitti, Stefano Lisini, Antonio Segatti +1
In this paper, we discuss existence and finite speed of propagation for the solutions to an initial-boundary value problem for a family of fractional thin-film equations in a bound…