Propagation des singularites pour des operateurs pseudodifferentiels a carateristiques doubles

DOI10.1080/03605307908820127zbMath0432.35082OpenAlexW2083206997MaRDI QIDQ3869727

Alain Grigis

Publication date: 1979

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/93015

zbMATH Keywords

elliptic problemswave frontpropagation of singularitiesequations on manifoldspseudodifferential operators with double characteristics

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Analyticity in context of PDEs (35A20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Geometric theory, characteristics, transformations in context of PDEs (35A30) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items

Intrinsic nilpotent approximation ⋮ On the Generalization of Hörmander's Inequality ⋮ Propagation des singularités sur des groupes de Lie nilpotents de rang $2$. II ⋮ Propagation des singularités le long de courbes microbicaractéristiques pour des opérateurs pseudodifférentiels à caractéristiques doubles. I

Cites Work

• Invariants associés à une classe d'opérateurs pseudodifférentiels et applications à l'hypoellipticité
• A class of hypoelliptic pseudodifferential operators with double characteristics
• Propagation of singularities for operators with multiple involutive characteristics
• Propagation des singularités des solutions d'équations pseudo-différentielles quasi homogènes
• The Cauchy problem for differential equations with double characteristics
• Parametrices for pseudodifferential operators with multiple characteristics
• Lower bounds for pseudo-differential operators

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