Hyperbolic Systems with Discontinuous Coefficients: Generalized Wavefront Sets

DOI10.1007/978-3-7643-8969-7_7zbMath1166.35314OpenAlexW45273691MaRDI QIDQ3613199

Michael Oberguggenberger

Publication date: 12 March 2009

Published in: New Developments in Pseudo-Differential Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-8969-7_7

zbMATH Keywords

duality methodspseudo-differential equationspropagation of singularitiesalgebras of generalized functions

Mathematics Subject Classification ID

Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (3)

Propagation of singularities for generalized solutions to nonlinear wave equations ⋮ Wave Equations and Symmetric First-order Systems in Case of Low Regularity ⋮ The Wave Equation with a Discontinuous Coefficient Depending on Time Only: Generalized Solutions and Propagation of Singularities

Cites Work

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• Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients
• Microlocal analysis and global solutions of some hyperbolic equations with discontinuous coefficients

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