Keywords
- Analytic Wave
- Principal Symbol
- Order Differential Operator
- Conical Refraction
- Partial Holomorphy
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
F.G. Friedlander, R.B. Melrose, The wave front set of the solution of a simple initial boundary value problem with glancing rays, II, Math. Proc. Comb. Phil. Soc., 81, 1977, 97–120.
L. Hörmander, The analysis of linear partial differential operators, I–IV, Springer Verlag, 1983–1985.
K. Kataoka, Microlocal theory of boundary value problems, I–II, J. Fac. Sci. Univ. Tokyo 27(2), 1980, 355–399, and preprint.
P. Laubin, Analyse microlocale des singularités analytiques, Bull. Soc. Roy. Sc. Liège, 2, 1983, 103–212.
P. Laubin, Asymptotic solutions of hyperbolic boundary value problems with diffraction, Proceedings of the Nato ASI on Advances in microlocal analysis, D. Reidel, 165–202.
P. Laubin, Propagation of the second analytic wave front set in conical refraction, to appear
G. Lebeau, Deuxième microlocalisation sur les sous-variétés isotropes, Thèse, Orsay, 1983.
G. Lebeau, Régularité Gevrey 3 pour la diffraction, Comm. in P.D.E., 9(15), 1984, 1437–1494.
N. Levinson, Transformation of an analytic function of several variables to a canonical form, Duke Math. J. 28, 345–353, 1961.
R.B. Melrose, J. Sjöstrand, Singularities of boundary value problems I, Comm. Pure Appl. Math., 31, 1978, 593–617.
P. Schapira, Propagation at the boundary and reflexion of analytic singularities of solutions of linear partial differential equations, I and II, Publ. RIMS, Kyoto Univ., 12, 1977, 441–453 and Sem. Goulaouic-Schwartz, IX, 1976–77.
J. Sjöstrand, Propagation of analytic singularities for second order Dirichlet problems, I and II, Comm in P.D.E., 5, 1980, 41–94 and 187–207.
J. Sjöstrand, Analytic singularities and microhyperbolic boundary value problems, Math. Qnn., 254, 1980, 211–256.
J. Sjöstrand, Analytic singularities of solutions of boundary value problems, Proceeding of the Nato ASI on Singularities in boundary value problems, D. Reidel, 1980, 235–269.
J. Sjöstrand, Singularités analytiques microlocales, Astérisque 95, 1982.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this chapter
Cite this chapter
Laubin, P. (1987). Propagation of the second analytic wave front set along diffractive rays. In: Cordes, H.O., Gramsch, B., Widom, H. (eds) Pseudo-Differential Operators. Lecture Notes in Mathematics, vol 1256. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077747
Download citation
DOI: https://doi.org/10.1007/BFb0077747
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-17856-9
Online ISBN: 978-3-540-47886-7
eBook Packages: Springer Book Archive
