Identification problems for parabolic delay differential equations with measurement on the boundary

G. Di Blasio; A. Lorenzi

doi:10.1515/jiip.2007.039

Published by De Gruyter January 24, 2008

Identification problems for parabolic delay differential equations with measurement on the boundary

G. Di Blasio and A. Lorenzi

From the journal Journal of Inverse and Ill-posed Problems

https://doi.org/10.1515/jiip.2007.039

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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.

Keywords: Identification problems; functional delay differential equations; parabolic integrodifferential equations

Received: 2006-November-25

Published Online: 2008-01-24

Published in Print: 2007-11-30

Identification problems for parabolic delay differential equations with measurement on the boundary

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