Abstract
In the present paper we give necessary conditions for the well-posedness of the Cauchy problem for a class of first order differential hyperbolic N × N systems, L = L 1 ( x, D x ) + L O ( x), with multiple characteristics. Let ρ be characteristic point of h( x, ξ) = det L 1 ( x, ξ) of multiplicity r; we assume that rank L 1 ( ρ) = N − 1. Our result is that there is a scalar hyperbolic differential operator P with principal symbol h, such that, if the Cauchy problem for L is correctly posed, then P must satisfy the Ivrii-Petkov conditions at p of multiplicity r.
Full Text
Published Version
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 call