3 papers
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.FA2018
Heinz-Kato inequality in Banach spaces
Nikolaos Roidos
It is observed that in Banach spaces, sectorial operators having bounded imaginary powers satisfy a Heinz-Kato inequality.
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…