3 citations · 5 across the 2 of their papers we have counts for
6 papers
Index in K-theory for families of fibred cusp operators
Richard B. Melrose, Frederic Rochon
A families index theorem in K-theory is given for the setting of Atiyah, Patodi and Singer of a family of Dirac operators with spectral boundary condition. This result is deduced f…
Families Index for Pseudodifferential Operators on Manifolds with Boundary
Richard Melrose, Frederic Rochon
An analytic index is defined for a family of cusp pseudodifferential operators, on a fibration with fibres which are compact manifolds with boundaries, provided the family i…
Spectral and scattering theory for symbolic potentials of order zero
Andrew Hassell, Richard B. Melrose, András Vasy
The spectral and scattering theory is investigated for a generalization, to scattering metrics on two-dimensional compact manifolds with boundary, of the class of smooth potentials…
Propagation of singularities for the wave equation on conic manifolds
Richard Melrose, Jared Wunsch
For the wave equation associated to the Laplacian on a compact manifold with boundary with a conic metric (with respect to which the boundary is metrically a point) the propagation…
Singularities and the wave equation on conic spaces
Richard B. Melrose, Jared Wunsch
Let be a manifold with boundary, endowed with a metric with conic singularities at the boundary components of . Let be a solution to the wave equation on $\mathbb{R} \ti…
Pseudodifferential operators on manifolds with fibred boundaries
Rafe Mazzeo, Richard B. Melrose
Let be a compact manifold with boundary. Suppose that the boundary is fibred, $ϕ:\pa X\longrightarrow Y,$ and let $x\in\CI(X)$ be a boundary defining function. This data fixes…