Realizations of differential operators subject to differential boundary conditions on manifolds with conical singularities are shown to have a bounded H_∞-calculus in appropriate Lp-Sobolev spaces provided suitable conditions of parameter-ellipticity are satisfied. Applications concern the Dirichlet and Neumann Laplacian and the porous medium equation.
Bounded H_∞-calculus for boundary value problems on manifolds with conical singularities
Joerg Seiler
2021-01-01
Abstract
Realizations of differential operators subject to differential boundary conditions on manifolds with conical singularities are shown to have a bounded H_∞-calculus in appropriate Lp-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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