Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610266 | Journal of Differential Equations | 2013 | 32 Pages |
Abstract
We consider second order weakly hyperbolic equations with time dependent coefficients in the ultradifferentiable classes. Our main purpose of the present paper is an investigation the relation between the classes of the functions to be well-posed and the following properties of the coefficients: the order of degeneration, stabilization to a monotonic function and their smoothness in the ultradifferentiable classes.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fumihiko Hirosawa, Haruhisa Ishida,