Normalization of complex-valued planar vector fields which degenerate along a real curve |
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Authors: | Paulo D. Cordaro |
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Affiliation: | a Depto. Matemática Aplicada, IME-USP, São Paulo, SP 05508-090, Brazil b Department of Mathematics, University of Wisconsin, Madison, Van Vleck Hall 480, Lincoln Drive, Madison, WI 53706, USA |
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Abstract: | Taking as a start point the recent article of Meziani [7], we present several results concerning the normalization of a class of complex vector fields in the plane which degenerate along a real curve. We mainly deal with operators with finite regularity and analyze both the local situation as well as the case of normalization near a circle. Some related questions (e.g., on semi-global solvability and on the normalization of a class of generalized Mizohata operators) are also discussed. |
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Keywords: | primary 35J70 secondary 35A20 37G05 |
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