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Propagation of singularities for non-real pseudo-differential operators

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Abstract

The purpose of this work is to prove a theorem of propagation of singularities for a class of non-real pseudo-differential operator with multiple characteristics. The main tools are L2 estimates on the time-dependent Schrödinger equation related toP. We extend here the results of [6]; we improve the results announced by the second author in [7]. The second part of this work consists in an extension of the result of [5] to complex-valued symbols.

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Authors and Affiliations

  1. Mathématiques URA 213, 4 Place Jussieu, 75252, Paris Cedex 05, France

    Bernard Lascar & Richard Lascar

  2. Mathématiques URA 305, Université de Rennes, 1 Campus de Beaulieu, 35042, Rennes Cedex, France

    Nicolas Lerner

Authors
  1. Bernard Lascar
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  2. Richard Lascar
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  3. Nicolas Lerner
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Lascar, B., Lascar, R. & Lerner, N. Propagation of singularities for non-real pseudo-differential operators. J. Anal. Math. 64, 263–289 (1994). https://doi.org/10.1007/BF03008412

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  • DOI: https://doi.org/10.1007/BF03008412

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