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Multidimensional asymptotic spectral analysis and applications

Author

Listed:
  • Victor Dévoué

    (CEREGMIA, Université des Antilles et de la Guyane)

  • Richard Maximilian Hasler

    (CEREGMIA, Université des Antilles et de la Guyane)

  • Jean-André Marti

    (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

Suggested Citation

  • Victor Dévoué & Richard Maximilian Hasler & Jean-André Marti, 2010. "Multidimensional asymptotic spectral analysis and applications," Documents de Travail 2010-03, CEREGMIA, Université des Antilles et de la Guyane.
    • Handle: RePEc:crg:wpaper:dt2010-03
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    File URL: http://www2.univ-ag.fr/RePEc/DT/DT2010-03_Devoue_al.pdf
    File Function: First version, 2010
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    Cited by:

    1. Maximilian Hasler & Jean-André Marti, 2010. "Pointvalue characterizations in multi-parameter algebras," Documents de Travail 2010-05, CEREGMIA, Université des Antilles et de la Guyane.

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