Multidimensional asymptotic spectral analysis and applications

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.
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Submitted on : Tuesday, December 4, 2012 - 11:24:28 PM
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Victor Devoue, Maximilian F. Hasler, Jean-André Marti. Multidimensional asymptotic spectral analysis and applications. 2010. ⟨hal-00761112⟩

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