Microlocal analysis in generalized function algebras based on generalized points and generalized directions

DOI10.1007/S00605-015-0831-7zbMath1357.35014arXiv1510.00626OpenAlexW2239073136MaRDI QIDQ314499

Hans Vernaeve

Publication date: 16 September 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00626

zbMATH Keywords

\(\mathcal{G}^{\infty}\)-microlocal analysisslow scale neighbourhood

Mathematics Subject Classification ID

Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Weak solutions to PDEs (35D30) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Wave front sets in context of PDEs (35A18)

Related Items (1)

An Application of Internal Objects to Microlocal Analysis in Generalized Function Algebras

Cites Work

• Pointwise characterizations in generalized function algebras
• Microlocal analysis of Colombeau's generalized functions: Propagation of singularities
• Integration and microlocal analysis in Colombeau algebras of generalized functions
• Internal sets and internal functions in Colombeau theory
• 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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