On the Gevrey regularity for weakly hyperbolic equations with space-time degeneration of Oleinik type

Abstract

We are concerned with the problem of global Gevrey regularity of solutions of quasi-linear weakly hyperbolic equations. Assuming a Oleinik’s type condition on the nonlinear term, we establish a suitable energy estimate which permits to prove the propagation of the Gevrey regularity of the C2 solutions.

Keywords

• weekly hyperbolic
• quasi-linear
• oleinik condition
• gevrey regularity