Inverse Problems for Hyperbolic Equations

Alemdar Hasanov Hasanoğlu () and Vladimir G. Romanov
Additional contact information
Alemdar Hasanov Hasanoğlu: University of Kocaeli, Department of Mathematics
Vladimir G. Romanov: Sobolev Institute of Mathematics

Chapter Chapter 4 in Introduction to Inverse Problems for Differential Equations, 2017, pp 123-143 from Springer

Abstract: Abstract In the first part of this chapter we study two inverse source problems related to the second order hyperbolic equations $$u_{tt}-u_{xx}=\rho (x, t)g(t)$$ u t t - u x x = ρ ( x , t ) g ( t ) and $$u_{tt}-u_{xx}=\rho (x, t)\varphi (x)$$ u t t - u x x = ρ ( x , t ) φ ( x ) for the quarter plane $$\mathbb {R}^2_+=\{(x, t)|\, x>0, t>0\}$$ R + 2 = { ( x , t ) | x > 0 , t > 0 } , with Dirichlet type measured output data $$f(t):=u(x, t)\vert _{x=0}$$ f ( t ) : = u ( x , t ) | x = 0 .

Date: 2017
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:978-3-319-62797-7_4

Ordering information: This item can be ordered from
http://www.springer.com/9783319627977

DOI: 10.1007/978-3-319-62797-7_4

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 ().