On vector fields in the plane with the reflection property
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- by S. Berhanu and J. Hounie PDF
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Abstract:
We discuss necessary and sufficient conditions for the validity of the analogue of the Schwarz Reflection Principle for homogeneous solutions of complex vector fields in the plane.References
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Additional Information
- S. Berhanu
- Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122-6094
- MR Author ID: 35355
- Email: berhanu@temple.edu
- J. Hounie
- Affiliation: Departamento de Matemática, University Federal de São Carlos, 13.565-905, São Carlos, SP, Brazil
- MR Author ID: 88720
- Email: hounie@dm.ufscar.br
- Received by editor(s): April 26, 2011
- Received by editor(s) in revised form: December 4, 2011
- Published electronically: December 6, 2013
- Additional Notes: This work was supported in part by NSF DMS 1001283, CNPq, FAPESP and CAPES
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 366 (2014), 1703-1723
- MSC (2010): Primary 35B60, 35F05; Secondary 30B40, 35H10
- DOI: https://doi.org/10.1090/S0002-9947-2013-05771-6
- MathSciNet review: 3152709