Geometric optics expansions for hyperbolic corner problems, I: Self-interaction phenomenon
Geometric optics expansions for hyperbolic corner problems, I: Self-interaction phenomenon
In this article we are interested in the rigorous construction of geometric optics expansions for hyperbolic corner problems.More precisely we focus on the case where self-interacting phases occur.Those phases are proper to the high frequency asymptotics for the corner problem and correspond to rays that can display a homothetic pattern …