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Claudia Garetto
Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity
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| Published: |
September 14, 2006
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| Keywords: |
Algebras of generalized functions, wave front sets, duality theory |
| Subject: |
46F30, 35A18, 46A20, 35D10 |
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Abstract
We introduce different notions of wave front set for the functionals in the dual of the Colombeau algebra Gc(Ω) providing a way to measure the G and the G∞- regularity in
L(Gc(Ω),\tilde{C}). For the smaller family of functionals having a "basic structure'' we obtain a Fourier transform-characterization for this type of generalized wave front sets and results of noncharacteristic G and G∞-regularity.
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| Acknowledgements
Supported by FWF (Austria), grant P16820-N04 and TWF (Tyrol), grant UNI-0404/305.
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| Author information
Institut für Technische Mathematik, Universität Innsbruck, Austria
claudia@mat1.uibk.ac.at
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