On the Microlocal Properties of the Range of Systems of Principal Type

DOI10.1080/03605302.2012.747537zbMath1302.35489arXiv1108.2124OpenAlexW2025749258MaRDI QIDQ4916393

Jens Wittsten, Niels Dencker

Publication date: 22 April 2013

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

Full work available at URL: https://arxiv.org/abs/1108.2124

zbMATH Keywords

bicharacteristicsinclusion relationssystems of pseudodifferential operatorsprincipal typemicrolocal solvabilitycondition \((\Psi)\)

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudodifferential operators (47G30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

On the range of unsolvable systems induced by complex vector fields

Cites Work

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• An example of a smooth linear partial differential equation without solution
• Differential operators of principal type
• The pseudospectrum of systems of semiclassical operators
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• The resolution of the Nirenberg-Treves conjecture
• The Solvability and Subellipticity of Systems of Pseudodifferential Operators
• On local solvability of linear partial differential equations part I: Necessary conditions
• On local solvability of linear partial differential equations—part II. Sufficient conditions
• Differential equations without solutions

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