N. Roidos

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math.AP2026

Maximal $L^{q}$ -regularity for the Laplacian on manifolds with edges

Nikolaos Roidos

We introduce an $R$ -sectoriality perturbation technique for non-commuting operators defined in Bochner spaces. Based on this and on bounded $H^{\infty}$ -functional calculus results…

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…

Maximal Lq-regularity for the Laplacian on manifolds with edges

Asymptotics of solutions to the porous medium equation near conical singularities

Maximal $L^{q}$ -regularity for the Laplacian on manifolds with edges