Perturbations of pseudo-differential operators with double characteristics of constant multiplicity

DOI10.1016/0022-0396(83)90082-7zbMath0476.35006OpenAlexW2032034842MaRDI QIDQ1160341

Paul Godin

Publication date: 1983

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90082-7

zbMATH Keywords

a priori estimatespseudo-differential operatorssubprincipal symbolMenikoff's solvability resultsmicrolocal solvability

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Perturbations in context of PDEs (35B20)

Cites Work

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• A general calculus of pseudodifferential operators
• A necessary condition for the local solvability of the operator \(P^2_m(x,D)+P_{2m-1}(x,D)\)
• Propagation des singularités pour une classe d'opérateurs à caractéristiques multiples et resolubilité locale
• On the boundedness of pseudo-differential operators
• Fourier integral operators. I
• A class of psrtdo-differential operators with double characteristics which do not propagate singularities

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