A construction of pure solutions for degenerate hyperbolic operators

J. Math. Sci. Univ. Tokyo
Vol. 16 (2009), No. 4, Page 461--500.

Chiba, Yasuo
A construction of pure solutions for degenerate hyperbolic operators
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Abstract:
For weakly hyperbolic operators whose characteristic roots degenerate only on the initial hypersurface, we construct solutions whose singularities are only just one of the characteristic roots.

Keywords: Hopf algebra, Nichols algebra, generalized quantum double, quasitriangular

Mathematics Subject Classification (2000): Primary 35A27; Secondary 35L80, 35S99
Mathematical Reviews Number: MR2650517

Received: 2006-11-13