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Multidimensional asymptotic spectral analysis and applications

Victor Dévoué, Maximilian Hasler and Jean-André Marti ()
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Victor Dévoué: CEREGMIA, Université des Antilles et de la Guyane
Maximilian Hasler: CEREGMIA, Université des Antilles et de la Guyane
Jean-André Marti: CEREGMIA, Université des Antilles et de la Guyane

No 2010-03, Documents de Travail from CEREGMIA, Université des Antilles et de la Guyane

Abstract: This 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

Keywords: Algebras of generalized functions; local and microlocal asymptotic analysis; transport equation with irregular coefficients and irregular data (search for similar items in EconPapers)
Pages: 19 pages
Date: 2010-05
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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http://www2.univ-ag.fr/RePEc/DT/DT2010-03_Devoue_al.pdf First version, 2010 (application/pdf)
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