Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Propagation of $ C\sp \infty$ regularity for fully nonlinear second order strictly hyperbolic equations in two variables


Author: Paul Godin
Journal: Trans. Amer. Math. Soc. 290 (1985), 825-830
MSC: Primary 35L70; Secondary 35L67
MathSciNet review: 792830
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that if $ u$ is a $ {C^3}$ solution of a fully nonlinear second order strictly hyperbolic equation in two variables, then $ u$ is $ {C^\infty }$ at a point $ m$ as soon as it is $ {C^\infty }$ at some point of each of the two bicharacteristic curves through $ m$. For semilinear equations, such a result was obtained before by Rauch and Reed if $ u \in {C^1}$


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 35L70, 35L67

Retrieve articles in all journals with MSC: 35L70, 35L67


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1985-0792830-8
PII: S 0002-9947(1985)0792830-8
Keywords: Propagation of regularity, second order fully nonlinear strictly hyperbolic equations in two variables
Article copyright: © Copyright 1985 American Mathematical Society