Microlocal Analysis and Global Solutions of Some Hyperbolic Equations with Discontinuous Coefficients
By G. Hörmann, M. V. Hoop. 2001
79 citations recorded by the source corpus.
Subfields: Mathematical Physics, Philosophy
View Paper: https://www.semanticscholar.org/paper/36d5bcf0969387c217d93953c8566d71d348e151
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mathematical Physics
- Claudia Garetto
- G. Hörmann
- Michael Oberguggenberger
- Michael Ruzhansky
- Stevan Pilipovic
- J. Delgado
- Todor Gramchev
- Niyaz Tokmagambetov
In Philosophy
Citations in the corpus
- Topological Structures in Colombeau Algebras: Topological $\widetilde{\mathbb{C}}$ -modules and Duality Theory (2005, background): “These investigations have produced a theory of point values in the Colombeau algebra G(Ω) and results of invertibility and positivity in the ring of constant generalized functions C̃ [19, 38, 39] but also microlocal analysis in Colombeau algebras and regularity theory for generalized solutions to pa”
- Elliptic regularity and solvability for partial differential equations with Colombeau coefficients (2003, background): “, when considering hyperbolic PDEs with discontinuous or nonsmooth coefficients ([9, 12, 15]).”
- Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients (2003, background): “Recent related research in Colombeau regularity theory has shown progress in a diversity of directions, including such topics as pseudodifferential operators with generalized symbols and case studies in microlocal analysis of non-linear singularity propagation [4, 10, 11, 15].”
- MICROLOCAL ANALYSIS OF GENERALIZED FUNCTIONS: PSEUDODIFFERENTIAL TECHNIQUES AND PROPAGATION OF SINGULARITIES (2004, background): “Keywords: algebras of generalized functions; wavefront sets; pseudodifferential operators 2000 Mathematics subject classification: Primary 46F30 Secondary 35S99; 35D10”
- Hyperbolic Second Order Equations with Non-Regular Time Dependent Coefficients (2013, methodology): “For example, problems of this type appear in geophysical applications with delta-like sources and discontinuous or more irregular media (for example, fractal-type media occurs naturally in the upper crust of the Earth or in fractured rocks), see [25], and especially [19] for a more detailed discussi”