A necessary condition for the solvability of certain operators with multiple characteristics

DOI10.1080/03605308908820635zbMath0694.35226OpenAlexW2070708688MaRDI QIDQ3469634

Gary B. Roberts

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/03605308908820635

zbMATH Keywords

symbolsmultiple characteristicsmicrolocal solvabilitynecessary solvability condition

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Cites Work

• On local solvability of linear partial differential operators not of principal type
• Invariants associés à une classe d'opérateurs pseudodifférentiels et applications à l'hypoellipticité
• A necessary condition for the local solvability of the operator \(P^2_m(x,D)+P_{2m-1}(x,D)\)
• A local solvability result for operators with characteristics having odd order multiplicity
• A necessary condition of local solvability for pseudo-differential equations with double characteristics
• Local solvability and hypoellipticity for operators with odd order characteristics
• Quasi-subelliptic estimates for operators with multiple characteristics
• On local solvability of linear partial differential equations part I: Necessary conditions
• Differential equations without solutions
• Parametrices for pseudodifferential operators with multiple characteristics

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