N. Roidos

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20122026

L^{p}

-regularity of solutions for the porous medium equation on manifolds with conical singularities

4 citations · 6 across the 15 of their papers we have counts for

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Showing 2023 · math.APShow all

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math.AP2023

The spectrum of the Laplacian on closed manifolds and the heat asymptotics near conical points

Nikolaos Roidos

Let $M$ be a smooth, closed and connected manifold of dimension $n \in N$ , endowed with a Riemannian metric $g$ . Moreover, let $B$ be an $(n + 1)$ -dimensio…

math.AP2023

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…

The spectrum of the Laplacian on closed manifolds and the heat asymptotics near conical points

Maximal Lq-regularity for the Laplacian on manifolds with edges

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