Complex geometric optics for symmetric hyperbolic systems I: linear theory

Simple item page
dc.creatorMaj, Omar
dc.date2008-02-12
dc.date.accessioned2026-07-07T09:20:17Z
dc.date.available2026-07-07T09:20:17Z
dc.descriptionWe obtain an asymptotic solution for $\ep \to 0$ of the Cauchy problem for linear first-order symmetric hyperbolic systems with oscillatory initial values written in the eikonal form of geometric optics with frequency $1/\ep$, but with complex phases. For the most common linear wave propagation models, this kind on Cauchy problems are well-known in the applied literature and their asymptotic theory, referred to as complex geometric optics, is attracting interest for applications. In this work, which is the first of a series of papers dedicated to complex geometric optics for nonlinear symmetric hyperbolic systems, we develop a rigorous linear theory and set the basis for the subsequent nonlinear analysis.
dc.identifierhttps://arxiv.org/abs/0802.1691
dc.identifierhttp://arxiv.org/abs/0802.1691
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154673
dc.subjectMathematical Physics
dc.titleComplex geometric optics for symmetric hyperbolic systems I: linear theory
dc.typetext

Files

Collections

arXiv