A similarity principle for complex vector fields and applications
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- by S. Berhanu, J. Hounie and P. Santiago PDF
- Trans. Amer. Math. Soc. 353 (2001), 1661-1675 Request permission
Abstract:
This paper establishes a similarity principle for a class of non-elliptic, smooth complex vector fields in the plane. This principle is used to prove a uniqueness result for a nonlinear Cauchy problem.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@euclid.math.temple.edu
- J. Hounie
- Affiliation: Departamento de Matemática, Universidade Federal de São Carlos, Caixa Postal 676, CEP 13.565-905, São Carlos, SP, Brasil
- MR Author ID: 88720
- Email: hounie@dm.ufscar.br
- P. Santiago
- Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122-6094
- Address at time of publication: Departamento de Matemática, Universidade Federal de Pernambuco, CEP 50.740-540, Recife, PE, Brasil
- Email: santiago@dmat.ufpe.br
- Received by editor(s): October 14, 1998
- Received by editor(s) in revised form: October 25, 1999
- Published electronically: November 29, 2000
- Additional Notes: The first author thanks IMPA of Brazil for an invitation to a pde workshop in July, 1997, that facilitated this work
The second author was partially supported by CNPq, FAPESP and FINEP
The third author was supported partially supported by CNPq - © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 353 (2001), 1661-1675
- MSC (1991): Primary 35F05, 35N10, 35A05; Secondary 35F20, 32F40
- DOI: https://doi.org/10.1090/S0002-9947-00-02673-8
- MathSciNet review: 1806725