Degenerate hyperbolic equations with lower degree degeneracy
Authors:
Qing Han and Yannan Liu
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
Published electronically:
October 30, 2014
MathSciNet review:
3283645
Full-text PDF
Abstract | References | Similar Articles | Additional Information
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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for a weakly hyperbolic second order equation, Rend. Sem. Mat. Univ. Padova 91 (1994), 65-83. Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 35L15, 35L80
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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
Email:
liuyn@th.btbu.edu.cn, Yannan.Liu.148@nd.edu
DOI:
https://doi.org/10.1090/S0002-9939-2014-12288-X
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
Article copyright:
© Copyright 2014
American Mathematical Society
