Access the full text.
Sign up today, get DeepDyve free for 14 days.
C. Morrey, L. Nirenberg (1957)
On the analyticity of the solutions of linear elliptic systems of partial differential equationsCommunications on Pure and Applied Mathematics, 10
E. Coddington, N. Levinson (1955)
Theory of Ordinary Differential Equations
M. Baouendi, C. Goulaouic (1971)
Étude de l'analyticité et de la régularité Gevrey pour une classe d'opérateurs elliptiques dégénérésAnnales Scientifiques De L Ecole Normale Superieure, 4
R. Mazzeo, R. Melrose (1987)
Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvatureJournal of Functional Analysis, 75
P. Bolley, J. Camus (1972)
Sur une classe d'opérateurs elliptiques et dégénérés à plusieurs variables, 34
Asterisque, 19
C. Guillarmou (2003)
Meromorphic properties of the resolvent on asymptotically hyperbolic manifoldsDuke Mathematical Journal, 129
M. Baouendi, C. Goulaouic (1973)
Cauchy problems with characteristic initial hypersurfaceCommunications on Pure and Applied Mathematics, 26
A. Vasy (2010)
Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)Inventiones mathematicae, 194
AbstractWe show that resonant states in scattering on asymptotically hyperbolic manifolds that are analytic near conformal infinity have analytic radiation patterns at infinity. On even asymptotically hyperbolic manifolds, we also show that smooth solutions of Vasy operators with analytic coefficients are also analytic. That answers a question of Zworski ([14] Conjecture 2). The proof is based on previous results of Baouendi–Goulaouic and Bolley–Camus–Hanouzet, and for convenience of the reader, we present an outline of the proof of the latter.
Applied Mathematics Research Express – Oxford University Press
Published: Sep 1, 2017
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.