We prove that parameter-elliptic extensions of cone differential operators have a bounded H∞-calculus. Applications concern the Laplacian and the porous medium equation on manifolds with warped conical singularities.

Bounded H∞ -calculus for cone differential operators

J. Seiler
2018-01-01

Abstract

We prove that parameter-elliptic extensions of cone differential operators have a bounded H∞-calculus. Applications concern the Laplacian and the porous medium equation on manifolds with warped conical singularities.
2018
18
3
1395
1425
https://arxiv.org/abs/1706.07232
http://link.springer.com/article/10.1007/s00028-018-0447-1
H∞ calculus, cone differential operator, porous medium equation
E. Schrohe, J. Seiler
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1669127
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