Generalized Fourier Integral Operator Methods for Hyperbolic Equations with Singularities (Q5419409)

scientific article; zbMATH DE number 6301930

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English	Generalized Fourier Integral Operator Methods for Hyperbolic Equations with Singularities	scientific article; zbMATH DE number 6301930

Statements

instance of

scholarly article

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title

Generalized Fourier Integral Operator Methods for Hyperbolic Equations with Singularities (English)

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author

Claudia Garetto

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Michael Oberguggenberger

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published in

Proceedings of the Edinburgh Mathematical Society

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publication date

6 June 2014

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full work available at URL

https://arxiv.org/abs/1104.3035

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zbMATH Keywords

hyperbolic equations

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Fourier integral operators

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Colombeau generalized functions

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microlocal analysis

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MaRDI profile type

MaRDI publication profile

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cites work

Hyperbolic systems of linear equations with discontinuous coefficients

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Generalized solutions to symmetric hyperbolic systems with discontinuous coefficients: The multidimensional case

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Uniqueness of continuous solutions for BV vector fields

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Hyperbolic operators with non-Lipschitz ceofficients

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Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients

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Case study of a nonlinear, nonconservative, nonstrictly hyperbolic system

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Ordinary differential equations, transport theory and Sobolev spaces

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Hyperbolic systems with discontinuous coefficients: Generalized solutions and a transmission problem in acoustics

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Generlized solutions of linear differential equations with dicontinuous coefficients and the uniqueness question for multidimensional quasilinear conservation laws

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One-dimensional transport equations with discontinuous coefficients

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Generalized Solutions to the Korteweg–de Vries and the Regularized Long-Wave Equations

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Generalized solutions to nonlinear first-order systems

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Symmetric hyperbolic systems in algebras of generalized functions and distributional limits

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Transport equation and Cauchy problem for BV vector fields

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Microlocal analysis and global solutions of some hyperbolic equations with discontinuous coefficients

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First-order hyperbolic pseudodifferential equations with generalized symbols

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Fourier integral operators. I

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Comparison of some solution concepts for linear first-order hyperbolic differential equations with non-smooth coefficients

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Generalized oscillatory integrals and Fourier integral operators

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MICROLOCAL ANALYSIS OF GENERALIZED FUNCTIONS: PSEUDODIFFERENTIAL TECHNIQUES AND PROPAGATION OF SINGULARITIES

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Fundamental solutions in the Colombeau framework: applications to solvability and regularity theory

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Topological structures in Colombeau algebras: Investigation of the duals of \(\mathcal G_c(\Omega)\), \(\mathcal G(\Omega)\) and \(\mathcal G_{\mathcal S}(\mathbb R^n)\)

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Topological structures in Colombeau algebras: Topological \(\widetilde{\mathbb C}\)-modules and duality theory

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On the Hamilton-Jacobi equation in the framework of generalized functions

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On Local and Global Regularity of Fourier Integral Operators

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Fourier integral operators. II

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Identifiers

zbMATH Open document ID

1297.35302

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DOI

10.1017/S0013091513000424

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5419409