Propagation of analytic singularities up to non smooth boundary
Pierre Schapira (1987)
Journées équations aux dérivées partielles
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Displaying similar documents to “Caustics and Microfunctions”
Propagation of analytic singularities up to non smooth boundary
The stack of microlocal perverse sheaves
Ingo Waschkies (2004)
Bulletin de la Société Mathématique de France
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In this paper we construct the abelian stack of microlocal perverse sheaves on the projective cotangent bundle of a complex manifold. Following ideas of Andronikof we first consider microlocal perverse sheaves at a point using classical tools from microlocal sheaf theory. Then we will use Kashiwara-Schapira’s theory of analytic ind-sheaves to globalize our construction. This presentation allows us to formulate explicitly a global microlocal Riemann-Hilbert correspondence.
Flabbiness for solution sheaves of microdifferential systems
Andrea d' Agnolo (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Application of the microlocal theory of sheaves to the study of
M. Kashiwara, P. Schapira (1984-1985)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Sheaf theory and regularity. Application to local and microlocal analysis
Jean-André Marti (2010)
Banach Center Publications
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A review of some methods in sheaf theory is presented to make precise a general concept of regularity in algebras or spaces of generalized functions. This leads to the local analysis of the sections of sheaves or presheaves under consideration and then to microlocal analysis and microlocal asymptotic analysis.
On caustics associated with Rossby waves
Arthur D. Gorman (1996)
Applications of Mathematics
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Rossby wave equations characterize a class of wave phenomena occurring in geophysical fluid dynamics. One technique useful in the analysis of these waves is the geometrical optics, or multi-dimensional WKB technique. Near caustics, e.g., in critical regions, this technique does not apply. A related technique that does apply near caustics is the Lagrange Manifold Formalism. Here we apply the Lagrange Manifold Formalism to study Rossby waves near caustics.
On the boundary value problem for the elliptic system of linear differential equations
M. Kashiwara, T. Kawai (1972-1973)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Microlocal operators with plurisubharmonic growth
Yves Laurent (1993)
Compositio Mathematica
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On caustics associated with the linearized vorticity equation
Petya N. Ivanova, Arthur D. Gorman (1998)
Applications of Mathematics
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The linearized vorticity equation serves to model a number of wave phenomena in geophysical fluid dynamics. One technique that has been applied to this equation is the geometrical optics, or multi-dimensional WKB technique. Near caustics, this technique does not apply. A related technique that does apply near caustics is the Lagrange Manifold Formalism. Here we apply the Lagrange Manifold Formalism to determine an asymptotic solution of the linearized vorticity equation and to study...