The Question of Solvability

Gavin R. Thomson () and Christian Constanda ()
Additional contact information
Gavin R. Thomson: A.C.C.A.
Christian Constanda: The University of Tulsa, Department of Mathematical and Computer Sciences

Chapter Chapter 6 in Stationary Oscillations of Elastic Plates, 2011, pp 75-86 from Springer

Abstract: Abstract In this chapter we prove the existence of regular solutions to the interior and exterior Dirichlet and Neumann boundary value problems introduced in Section 4.2. This is done by means of an indirect boundary integral equation method in which the solution of each problem is sought in the form of a particular potential. Such a method has been used successfully to prove the solvability of a variety of important boundary value problems, for example, in connection with the Helmholtz equation (see [11]) and stationary oscillations in classical three-dimensional elasticity (see [40]). The above models have many characteristics in common with our system of equations, an important one being the presence of eigenfrequencies.

Keywords: Regular Solution; Boundary Integral Equation; Helmholtz Equation; Zero Solution; Stationary Oscillation (search for similar items in EconPapers)
Date: 2011
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:978-0-8176-8241-5_6

Ordering information: This item can be ordered from
http://www.springer.com/9780817682415

DOI: 10.1007/978-0-8176-8241-5_6

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 ().