Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A similarity principle for complex vector fields and applications
HTML articles powered by AMS MathViewer

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
Similar Articles
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