4 citations · 6 across the 15 of their papers we have counts for
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The fractional porous medium equation on manifolds with conical singularities II
Nikolaos Roidos, Yuanzhen Shao
This is the second of a series of two papers which studies the fractional porous medium equation, with and , posed on a Rie…
The fractional porous medium equation on manifolds with conical singularities I
Nikolaos Roidos, Yuanzhen Shao
This is the first of a series of two papers which studies the fractional porous medium equation on a Riemannian manifold with isolated conical singularities. In this article, we sh…
Bounded -calculus for Boundary Value Problems on Manifolds with Conical Singularities
Nikolaos Roidos, Elmar Schrohe, Jörg Seiler
Realizations of differential operators subject to differential boundary conditions on manifolds with conical singularities are shown to have a bounded -calculus in appr…
Smoothness and long time existence for solutions of the Cahn-Hilliard equation on manifolds with conical singularities
Pedro T. P. Lopes, Nikolaos Roidos
We consider the Cahn-Hilliard equation on manifolds with conical singularities. For appropriate initial data, we show that the solution exists in the maximal -regularity space…