Multidimensional asymptotic spectral analysis and applications
DOI10.1080/00036811.2010.524296zbMath1238.46035OpenAlexW1954714021WikidataQ58276819 ScholiaQ58276819MaRDI QIDQ3096911
Maximilian F. Hasler, Victor Dévoué, Jean-André Marti
Publication date: 15 November 2011
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://hal.univ-antilles.fr/hal-00761112/file/DT2010-03_Devoue_al3.pdf
algebras of generalized functionslocal and microlocal asymptotic analysistransport equation with irregular coefficients and irregular data
Distributions and generalized functions on nonlinear spaces (46T30) PDEs with low regular coefficients and/or low regular data (35R05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Generalized solutions to partial differential equations (35D99)
Cites Work
- Generalized solutions of singular differential problems. Relationship with classical solutions
- Nonlinear algebraic analysis of delta shock wave solutions to Burgers' equation.
- Topology on asymptotic algebras of generalized functions and applications
- Topology and functoriality in \((\mathcal {C, E, P})\)-algebras. Application to singular differential problems
- Regularity, local and microlocal analysis in theories of generalized functions
- Existence and Uniqueness of Solutions to Fokker–Planck Type Equations with Irregular Coefficients
- Asymptotic extension of topological modules and algebras
- A Multivariate Faa di Bruno Formula with Applications
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