Stability of one-dimensional waves in layered media
type: CreativeWork
description: This thesis presents an interpretation of a result on the stability of waves in layered media with respect to Webster's horn equation and travel-time velocity as a parameter The stability property of waves is related to the forward map. It is known that the forward map as a function of the vertical wave velocity is not locally Lipschitz continuous. This thesis describes a proof that the forward map as a function of the travel tine velocity is Lipschitz continuous, and even differentiable.
abstract: This thesis presents an interpretation of a result on the stability of waves in layered media with respect to Webster's horn equation and travel-time velocity as a parameter The stability property of waves is related to the forward map. It is known that the forward map as a function of the vertical wave velocity is not locally Lipschitz continuous. This thesis describes a proof that the forward map as a function of the travel tine velocity is Lipschitz continuous, and even differentiable.
author: Chen, Sichao
language: eng
keywords: Geophysics, Mathematics, Pure sciences, Earth sciences
date published: 2008
date modified: 2026-07-24T04:10:21Z
provider: Rice University
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: Rice University

PropertyValue
property ID: Handle
value: https://hdl.handle.net/1911/103582