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On rotationally invariant vector fields in the plane

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Abstract

This work is concerned with global properties of a class of ℂ-valued vector fields in the plane which are rotationally invariant. It is shown that the finite type rotationally invariant vector fields have global first integrals. We also study the global hypoellipticity and global solvability properties of these vector fields.

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Authors and Affiliations

  1. Department of Mathematics, Temple University, 19122, Philadelphia, PA

    S. Berhanu & A. Meziani

  2. Department of Mathematics, Florida International University, 33199, Miami, FL

    S. Berhanu & A. Meziani

Authors
  1. S. Berhanu
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  2. A. Meziani
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Berhanu, S., Meziani, A. On rotationally invariant vector fields in the plane. Manuscripta Math 89, 355–371 (1996). https://doi.org/10.1007/BF02567523

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  • DOI: https://doi.org/10.1007/BF02567523

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