Propagation of analyticity along real bicharacteristics

DOI10.1215/S0012-7094-81-04815-8zbMath0471.35013OpenAlexW1964056487MaRDI QIDQ1157461

Nicholas Hanges

Publication date: 1981

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-81-04815-8

zbMATH Keywords

analytic wave front setprincipal symbolpropagation of analytic singularitiesclassical analytic pseudo-differential operatorreal bicharacteristic

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Pseudodifferential operators as generalizations of partial differential operators (35S05) Analyticity in context of PDEs (35A20) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (7)

Complex symplectic geometry and solvability of systems of analytic vector fields ⋮ An Asymptotic Formula for Hypo-Analytic Pseudodifferential Operators ⋮ Propagation de l'analycité le long d'une bicaractéristique réelle pour un opérateur totalement caractéristique. (Propagation of analyticity along a real bicharacteristic for a totally characteristic operator) ⋮ Localization and propagation of analytic singularities for operators with constant coefficients ⋮ Estimations de l'effet tunnel pour le double puits. II : états hautement excités ⋮ Necessary and sufficient conditions for propagation of singularities for systems of linear partial differential operators with constant coefficients ⋮ Propagation of Gevrey singularities for the degenerated Cauchy-Riemann equation

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