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math.AP2025
Asymptotics of solutions to the porous medium equation near conical singularities
Nikolaos Roidos, Elmar Schrohe
We show that, on a manifold with conical singularities, the asymptotics of the solutions to the porous medium equation near the conical points are determined by the spectrum of the…
math.AP2018
Conic manifolds under the Yamabe flow
Nikolaos Roidos
We consider the unnormalized Yamabe flow on manifolds with conical singularities. Under certain geometric assumption on the initial cross-section we show well posedness of the shor…