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arXiv · 1906.03701

Bounded $H_{\infty}$-calculus for Boundary Value Problems on Manifolds with Conical Singularities

Nikolaos Roidos·Elmar Schrohe·Jörg Seiler
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Abstract

Realizations of differential operators subject to differential boundary conditions on manifolds with conical singularities are shown to have a bounded $H_{\infty}$-calculus in appropriate $L_{p}$-Sobolev spaces provided suitable conditions of parameter-ellipticity are satisfied. Applications concern the Dirichlet and Neumann Laplacian and the porous medium equation.

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Nikolaos Roidos, Elmar Schrohe, Jörg Seiler. 2019-06-09. Bounded $H_{\infty}$-calculus for Boundary Value Problems on Manifolds with Conical Singularities. https://arxiv.org/abs/1906.03701

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