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Abstract
This article addresses 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. We apply the theory to a transport equation with strongly irregular coefficients and initial data.
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