Backward Uniqueness in Linear Thermoelasticity with Time and Space Variable Coefficients

Herbert Koch () and Irena Lasiecka ()
Additional contact information
Herbert Koch: Universität Bonn, Mathematisches Institut
Irena Lasiecka: Department of Mathematics

A chapter in Functional Analysis and Evolution Equations, 2007, pp 389-403 from Springer

Abstract: Abstract Backward uniqueness for thermoelastic plates and thermoelastic waves with time- and space-dependent coefficients is established. While this result has been proved recently, in the case of time-independent coefficients, it is new for the case of time-dependent coefficients. The proof relies on a combination of energy and Carleman’s estimates, hence it is very different from the one given in [LRT], which is based on complex analysis methods. These latter methods are not applicable to nonlinear models and to models with time-dependent coefficients. Our results have consequences for several nonlinear models of thermoelasticity.

Keywords: Energy Estimate; Lumer Volume; Homogeneous Dirichlet Boundary Condition; Carleman Estimate; Plate Equation (search for similar items in EconPapers)
Date: 2007
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7643-7794-6_25

Ordering information: This item can be ordered from
http://www.springer.com/9783764377946

DOI: 10.1007/978-3-7643-7794-6_25

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().