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Gevrey vectors in involutive tube structures and Gevrey regularity for the solutions of certain classes of semilinear systems

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Abstract

In this work, we introduce the notion of s-Gevrey vectors in locally integrable structures of tube type. Under the hypothesis of analytic hypoellipticity, we study the Gevrey regularity of such vectors and also show how this notion can be applied to the study of the Gevrey regularity of solutions of certain classes of semilinear equations.

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Authors and Affiliations

  1. Universidad de Antioquia, Medellín, Colombia

    Jairo E. Castellanos

  2. Universidade de São Paulo, São Paulo, SP, Brazil

    Paulo D. Cordaro

  3. Universidade Federal de São Carlos, São Carlos, SP, Brazil

    Gerson Petronilho

Authors
  1. Jairo E. Castellanos
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  2. Paulo D. Cordaro
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  3. Gerson Petronilho
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Corresponding author

Correspondence to Jairo E. Castellanos.

Additional information

The second and third authors were also partially supported by CNPq and FAPESP.

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Castellanos, J.E., Cordaro, P.D. & Petronilho, G. Gevrey vectors in involutive tube structures and Gevrey regularity for the solutions of certain classes of semilinear systems. JAMA 119, 333–364 (2013). https://doi.org/10.1007/s11854-013-0011-4

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  • DOI: https://doi.org/10.1007/s11854-013-0011-4

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