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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Degenerate hyperbolic equations with lower degree degeneracy
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by Qing Han and Yannan Liu PDF
Proc. Amer. Math. Soc. 143 (2015), 567-580 Request permission

Abstract:

We prove that the Cauchy problem of degenerate hyperbolic equations is well-posed if leading coefficients are degenerate at a low degree.
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Additional Information
  • Qing Han
  • Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556 – and – Beijing International Center for Mathematical Research, Peking University, Beijing 100871, People’s Republic of China
  • Email: qhan@nd.edu, qhan@math.pku.edu.cn
  • Yannan Liu
  • Affiliation: Department of Mathematics, Beijing Technology and Business University, Beijing 100048, People’s Republic of China – and – Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
  • MR Author ID: 797104
  • Email: liuyn@th.btbu.edu.cn, Yannan.Liu.148@nd.edu
  • Received by editor(s): October 4, 2009
  • Received by editor(s) in revised form: January 26, 2013
  • Published electronically: October 30, 2014
  • Additional Notes: The first author acknowledges the support of NSF Grant DMS-1105321
    The second author acknowledges the support of NSFC Grant 11201011, BNSF Grant 1132002 and the Importation and Development of High-Caliber Talents Project of Beijing Municipal Institutions (CIT&TCD201304029)
    The authors would like to thank the referees for many helpful suggestions.
  • Communicated by: Walter Craig
  • © Copyright 2014 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 567-580
  • MSC (2010): Primary 35L15, 35L80
  • DOI: https://doi.org/10.1090/S0002-9939-2014-12288-X
  • MathSciNet review: 3283645