A similarity principle for complex vector fields and applications

Authors:
S. Berhanu, J. Hounie and P. Santiago

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

Published electronically:
November 29, 2000

MathSciNet review:
1806725

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

**S. Berhanu**

Affiliation:
Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122-6094

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

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

DOI:
https://doi.org/10.1090/S0002-9947-00-02673-8

Keywords:
Similarity principle,
locally solvable vector field

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

Article copyright:
© Copyright 2000
American Mathematical Society