Generalized Fourier Integral Operator Methods for Hyperbolic Equations with Singularities

DOI10.1017/S0013091513000424zbMath1297.35302arXiv1104.3035OpenAlexW2964256231MaRDI QIDQ5419409

Claudia Garetto, Michael Oberguggenberger

Publication date: 6 June 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3035

zbMATH Keywords

hyperbolic equationsFourier integral operatorsmicrolocal analysisColombeau generalized functions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Fourier integral operators applied to PDEs (35S30) Initial value problems for first-order hyperbolic equations (35L03)

Related Items

Anomalous solutions to nonlinear hyperbolic equations, Propagation of singularities for generalized solutions to nonlinear wave equations, An Application of Internal Objects to Microlocal Analysis in Generalized Function Algebras, Symmetric hyperbolic systems in algebras of generalized functions and distributional limits, The Wave Equation with a Discontinuous Coefficient Depending on Time Only: Generalized Solutions and Propagation of Singularities, Symmetrisers and generalised solutions for strictly hyperbolic systems with singular coefficients

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