This paper deals with the problem of recovering a scalar time-dependent function in the source term in an abstract parabolic equation with delay. Both the so-called singular and nonsingular cases are considered. For such problems existence and uniqueness results as well as continuous dependence upon the data are proved. Applications to partial differential equations, with measurement of the flux on the boundary, are given.
Editor-in-Chief: Kabanikhin, Sergey I.
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Identification problems for parabolic delay differential equations with measurement on the boundary
1 Dipartimento di Matematica, Università di Roma “La Sapienza”, P.le A. Moro 5, 00185 Roma, Italy. Email: diblasio@mat.uniroma1.it
2 Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Saldini 50, 20133 Milano, Italy. Email: lorenzi@mat.unimi.it
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 15, Issue 7, Pages 709–734, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2007.039, January 2008
Publication History:
- Received:
- 2006-11-25
- Published Online:
- 2008-01-24
Keywords: Identification problems; functional delay differential equations; parabolic integrodifferential equations
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