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Global uniqueness of an inverse problem for stochastic degenerate wave equation with three unknowns.

Source :
Mathematical Methods in the Applied Sciences. 11/30/2021, Vol. 44 Issue 17, p12545-12558. 14p.
Publication Year :
2021

Abstract

This paper concerns an inverse problem for a stochastic degenerate wave equation. This inverse problem aims to determine a source term and an initial displacement and an initial velocity from the boundary observation and the final time observation. More precisely, we will prove a global uniqueness for our inverse problem by a suitable Carleman estimate for the stochastic degenerate wave equation. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*INVERSE problems
*WAVE equation

Details

Language :
English
ISSN :
01704214
Volume :
44
Issue :
17
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
153434161
Full Text :
https://doi.org/10.1002/mma.7562