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math.AP2024
Unique continuation at infinity: Carleman estimates on general warped cylinders
Nicolò De Ponti, Stefano Pigola, Giona Veronelli
We obtain a vanishing result for solutions of the inequality that decay to zero along a very general warped cylindrical end of a Riemannian manifold.…
math.AP2019
Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below
Nicolò De Ponti, Matteo Muratori, Carlo Orrieri
Given a complete, connected Riemannian manifold with Ricci curvature bounded from below, we discuss the stability of the solutions of a porous medium-type equation…