Di Blasio, G.; Lorenzi, A. Identification problems for parabolic delay differential equations with measurement on the boundary. (English) Zbl 1132.35388 J. Inverse Ill-Posed Probl. 15, No. 7, 709-734 (2007). Summary: 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. Cited in 12 Documents MSC: 35K30 Initial value problems for higher-order parabolic equations 35R30 Inverse problems for PDEs 45K05 Integro-partial differential equations 45N05 Abstract integral equations, integral equations in abstract spaces 35R10 Partial functional-differential equations 65N21 Numerical methods for inverse problems for boundary value problems involving PDEs Keywords:identification problems; functional delay differential equations; parabolic integrodifferential equations PDFBibTeX XMLCite \textit{G. Di Blasio} and \textit{A. Lorenzi}, J. Inverse Ill-Posed Probl. 15, No. 7, 709--734 (2007; Zbl 1132.35388) Full Text: DOI References: [1] Di Blasio, Osaka Lorenzi Identification problems for integrodifferential delay equations, Math 28 pp 367– (1991) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.