Multidimensional asymptotic spectral analysis and applications
AbstractThis article adresses questions on localization and microlocalization in the framework of the so called (C,E,P)–algebras of generalized functions. We give new results on nonlinear properties of the asymptotic singular spectrum in the multi-parameter case, a tool to describe the singularities of generalized solutions associated to problems which are classically ill-posed. Wa apply the theory to a transport equation with strongly irregular coefficients and initial data
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Bibliographic InfoPaper provided by CEREGMIA, Université des Antilles et de la Guyane in its series Documents de Travail with number 2010-03.
Length: 19 pages
Date of creation: May 2010
Date of revision:
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Algebras of generalized functions; local and microlocal asymptotic analysis; transport equation with irregular coefficients and irregular data;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-01-03 (All new papers)
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