Ivan G Avramidi and Giampiero Esposito 1998 Class. Quantum Grav. 15 1141 doi:10.1088/0264-9381/15/5/006
Ivan G Avramidi
and Giampiero Esposito![]()
Recent work in Euclidean quantum gravity has studied boundary conditions which are completely invariant under infinitesimal diffeomorphisms on metric perturbations. On using the de Donder gauge-averaging functional, this scheme leads to both normal and tangential derivatives in the boundary conditions. In the present paper, it is proved that the corresponding boundary value problem fails to be strongly elliptic. The result raises deep interpretative issues for Euclidean quantum gravity on manifolds with boundary.
58J32 Boundary value problems on manifolds
35Jxx Partial differential equations of elliptic type (See also 58J10, 58J20)
Issue 5 (May 1998)
Received 1 September 1997, in final form 12 February 1998
Ivan G Avramidi and Giampiero Esposito 1998 Class. Quantum Grav. 15 1141
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