Fetching the paper…
Reading the bibliography…
In this work we study the wavefront set of a solution u to Pu = f, where P is a pseudodifferential operator on a manifold with real-valued homogeneous principal symbol p, when the Hamilton vector field corresponding to p is radial on a Lagrangian submanifold contained in the characteristic set of P.
On the existence and regularity of solutions of linear pseudo-differential equations
Lars Hörmander · 1971
Earlier work this paper cites.
Fourier integral operators, II
J. J. Duistermaat and L. Hörmander · 1972
Earlier work this paper cites.
On a certain class of fuchsian partial differential equations
Victor Guillemin and David Schaeffer · 1977
Earlier work this paper cites.
Spectral and scattering theory for the laplacian on asymptotically euclidian spaces
Richard Melrose · 1994
Earlier work this paper cites.
Partial differential equations I. Basic theory
Michael E. Taylor · 1996
Cited alongside, same era.
Asymptotic behavior of generalized eigenfunctions in n n -body scattering
András Vasy · 1997
Cited alongside, same era.
Spectral and scattering theory for symbolic potentials of order zero
Andrew Hassell, Richard Melrose, and András Vasy · 2004
Cited alongside, same era.
Quantum scattering for potentials independent of | x | |x| : asymptotic completeness for high and low energies
Ira Herbst and Erik Skibsted · 2004
Cited alongside, same era.
Gluing semiclassical resolvent estimates via propagation of singularities
Kiril Datchev and András Vasy
Cited in the paper.
Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces
András Vasy, with an appendix by Semyon Dyatlov
Cited in the paper.
Microlocal kernels of pseudodifferential operators at a hyperbolic fixed point
Jean-François Bony, Setsuro Fujiié, Ramond Thierry, and Maher Zerzeri · 2007
Later among the works it cites.
The analysis of linear partial differential operators III: Pseudo-differential operators
Lars Hörmander · 2007
Later among the works it cites.
Microlocal propagation near radial points and scattering for symbolic potentials of order zero
Andrew Hassell, Richard Melrose, and András Vasy · 2008
Later among the works it cites.
Absence of quantum states corresponding to unstable classical channels
Ira Herbst and Erik Skibsted · 2008
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…