The propagation of singularities for pseudo-differential operators with self-tangential characteristics
N. Dencker (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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N. Dencker (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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C. Parenti, L. Rodino (1983)
Banach Center Publications
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J. J. Duistermaat (1971-1972)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Yves Colin de Verdière (2003)
Annales de l’institut Fourier
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We describe a microlocal normal form for a symmetric system of pseudo-differential equations whose principal symbol is a real symmetric matrix with a generic crossing of eigenvalues. We use it in order to give a precise description of the microlocal solutions.
Marco Mughetti (2001)
Rendiconti del Seminario Matematico della Università di Padova
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Coriasco, S. (1999)
Rendiconti del Seminario Matematico
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A. Menikoff, Johannes Sjöstrand (1977)
Journées équations aux dérivées partielles
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Allan Greenleaf, Gunther Uhlmann (1990)
Annales de l'institut Fourier
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We establish a composition calculus for Fourier integral operators associated with a class of smooth canonical relations . These canonical relations, which arise naturally in integral geometry, are such that : is a Whitney fold and : is a blow-down mapping. If , , then a class of pseudodifferential operators with singular symbols. From this follows boundedness of with a loss of 1/4 derivative.