Determining a boundary coefficient in a dissipative wave equation: uniqueness and directional Lipschitz stability View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-12

AUTHORS

Kaïs Ammari, Mourad Choulli

ABSTRACT

We are concerned with the problem of determining the damping boundary coefficient appearing in a dissipative wave equation from a single boundary measurement. We prove that uniqueness holds at the origin provided that the initial condition is appropriately chosen. We show that the choice of the initial condition leading to uniqueness is related to a fine version of the unique continuation property for elliptic operators. We also establish a Lipschitz directional stability estimate at the origin, which is obtained by a linearization process. More... »

PAGES

527-538

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00233-016-9845-2

DOI

http://dx.doi.org/10.1007/s00233-016-9845-2

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1035585563


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