Corpus ID: 222133999

Resolvents and complex powers of semiclassical cone operators

@article{Hintz2020ResolventsAC,
  title={Resolvents and complex powers of semiclassical cone operators},
  author={P. Hintz},
  journal={arXiv: Analysis of PDEs},
  year={2020}
}
  • P. Hintz
  • Published 2020
  • Physics, Mathematics
  • arXiv: Analysis of PDEs
We give a uniform description of resolvents and complex powers of elliptic semiclassical cone differential operators as the semiclassical parameter $h$ tends to $0$. An example of such an operator is the shifted semiclassical Laplacian $h^2\Delta_g+1$ on a manifold $(X, g)$ of dimension $n\geq 3$ with conic singularities. Our approach is constructive and based on techniques from geometric microlocal analysis: we construct the Schwartz kernels of resolvents and complex powers as conormal… Expand

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