Abstract
We present a semi-Fredholm theorem for the minimal extension of an elliptic differential operator on a manifold with wedge singularities and give, under suitable assumptions, a full asymptotic expansion of the trace of the resolvent.
2010 Mathematics Subject Classification: Primary: 58J50; Secondary: 35P05, 58J32, 58J05.
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References
J. Gil, T. Krainer, and G. Mendoza, Dynamics on Grassmannians and resolvents of cone operators, Anal. PDE 4 (2011), no. 1, 115–148.
J. Gil, T. Krainer, and G. Mendoza, On the closure of elliptic wedge operators, preprint arXiv:1007.2397v2, December 2010.
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Acknowledgements
Work partially supported by the NSF, grants DMS-0901173 & DMS-0901202.
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Gil, J.B., Krainer, T., Mendoza, G.A. (2013). On the Closure of Elliptic Wedge Operators. In: Grieser, D., Teufel, S., Vasy, A. (eds) Microlocal Methods in Mathematical Physics and Global Analysis. Trends in Mathematics(). Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0466-0_12
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DOI: https://doi.org/10.1007/978-3-0348-0466-0_12
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