Bounded $H_{\infty}$-calculus for Boundary Value Problems on Manifolds with Conical Singularities
Analysis of PDEs
2021-07-12 v2
Abstract
Realizations of differential operators subject to differential boundary conditions on manifolds with conical singularities are shown to have a bounded -calculus in appropriate -Sobolev spaces provided suitable conditions of parameter-ellipticity are satisfied. Applications concern the Dirichlet and Neumann Laplacian and the porous medium equation.
Cite
@article{arxiv.1906.03701,
title = {Bounded $H_{\infty}$-calculus for Boundary Value Problems on Manifolds with Conical Singularities},
author = {Nikolaos Roidos and Elmar Schrohe and Jörg Seiler},
journal= {arXiv preprint arXiv:1906.03701},
year = {2021}
}
Comments
31 pages