Bounded $H_{\infty }$-calculus for cone differential operators

Abstract

We prove that parameter-elliptic extensions of cone differential operators have a bounded $H_{\infty }$-calculus. Applications concern the Laplacian and the porous medium equation on manifolds with warped conical singularities.

References in corpus (1)

• Natural domains for edge-degenerate differential operators

Cited by in corpus (1)

• Function Spaces on Uniformly Regular and Singular Riemannian Manifolds