Uniqueness results in the identification of distributed sources over Germain–Lagrange plates by boundary measurements. Issue 9 (1st September 2016)

• Record Type: Journal Article
• Authors: Kawano, A.
• Is Part Of: Applicable analysis. Volume 95:Issue 9(2016)
• Page Start: 2004
• Page End: 2016
• Publication Date: 2016-09-01
• Subjects: Inverse problems -- partial differential equations -- wave equation -- Germain–Lagrange plate equation; 35R30; 74K20; 35Q74; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2015.1084413
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : We prove that the loading composed by a finite sum of time-independent sources acting over a bounded plate can be uniquely identified by knowing the normal derivative of the displacement along a subset of the boundary or the displacement of the points in a certain set near the boundary. This is true even if these data correspond to an arbitrary small interval of time. The method used is to reduce the problem to another one for the wave equation.