Differential and Integral Equations
- Differential Integral Equations
- Volume 24, Number 9/10 (2011), 973-1000.
Asymptotically hyperbolic manifolds with polyhomogeneous metric
We analyze the resolvent and define the scattering matrix for asymptotically hyperbolic manifolds with metrics which have a polyhomogeneous expansion near the boundary. We prove that there is always an essential singularity of the resolvent in this setting. We use this analysis to prove an inverse result for conformally compact odd-dimensional Einstein manifolds.
Differential Integral Equations, Volume 24, Number 9/10 (2011), 973-1000.
First available in Project Euclid: 20 December 2012
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Marazzi, Leonardo. Asymptotically hyperbolic manifolds with polyhomogeneous metric. Differential Integral Equations 24 (2011), no. 9/10, 973--1000. https://projecteuclid.org/euclid.die/1356012896