On the obstacle problem for the 1D wave equation

Our goal is to review the known theory on the one-dimensional obstacle problem for the wave equation, and to discuss some extensions. We introduce the setting established by Schatzman within which existence and uniqueness of solutions can be proved, and we prove that (in some suitable systems of coo...

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Bibliographic Details
Main Authors: Xavier Fernández-Real, Alessio Figalli
Format: Article
Language:English
Published: AIMS Press 2020-10-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/mine.2020026/fulltext.html