3 papers
math.FA2026
Strip-type operators and abstract Cauchy problems
Nikolaos Roidos
We consider the non-homogeneous abstract linear Schrödinger and wave equations with zero initial conditions, defined by operators of strip-type and parabola-type in Banach spaces,…
math.AP2026
Maximal -regularity for the Laplacian on manifolds with edges
Nikolaos Roidos
We introduce an -sectoriality perturbation technique for non-commuting operators defined in Bochner spaces. Based on this and on bounded -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…