Abstract
The Cauchy problem for a hyperbolic equation (either single or system) with distinct characteristics is well posed. Moreover it is well posed for any perturbation by lower order operators, namely it is a so called strongly hyperbolic equation (cf . K. KasaharaM. Yamaguti [1]). A higher order single equation with constant coefficients is strongly hyperbolic if and only if the characteristics are all real and distinct. In [2] the author showed that if a higher order single equation with variable coefficients is strongly hyperbolic, then the characteristics are necessarily real and simple. This is done, however, for only the case when the multiplicity of the characteristics is constant with respect to the variables (x, t, f). Now consider the following first order hyperbolic system :
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Publications of the Research Institute for Mathematical Sciences
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
