On the propagation of singularities for pseudo-differential operators with characteristics of variable multiplicity

DOI10.1080/03605309208820901zbMath0771.35087OpenAlexW1989157848MaRDI QIDQ4030407

Niels Dencker

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1080/03605309208820901

zbMATH Keywords

Weyl calculusLevi conditionpropagation of the wave front

Mathematics Subject Classification ID

Boundary value problems for PDEs with pseudodifferential operators (35S15) Pseudodifferential and Fourier integral operators on manifolds (58J40) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (3)

On uniqueness in the inverse problem for transversely isotropic elastic media with a disjoint wave mode ⋮ On the wave equation with multiplicities and space-dependent irregular coefficients ⋮ Regularity Properties, Representation of Solutions, and Spectral Asymptotics of Systems with Multiplicities

Cites Work

• The propagation of singularities for pseudo-differential operators with self-tangential characteristics
• Propagation of singularities for microdifferential equations with multiple selftangential involutory characteristics
• Microlocal structure of involutive conical refraction
• On the propagation of polarization sets for systems of real principal type
• Propagation des singularités pour une classe d'opérateurs à caractéristiques multiples et resolubilité locale
• Singularities of solutions of the cauchy problems for operators with hearly constant coefficient hyperbolic principal part
• Singularities of solutions of the caught problem for symmetric hyperbolic systems
• Parametrices for oprators with multiple involutive characteristics^∗
• Parametric du probleme de cauchy pour une classe de systems hyperboliques symetrisables a caracteristiques involutives de multiplicite variable
• Fundamental solution for a hyperbolic equation with involutive characteristics of variable multiplicity
• The weyl calculus of pseudo-differential operators
• Pseudo-differential operators with involutive double characteristics
• A class of hyperbolic operators with double involutive characteristics of fuchsian type

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