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Identification problems for parabolic delay differential equations with measurement on the boundary. (English) Zbl 1132.35388
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.

35K30Higher order parabolic equations, initial value problems
35R30Inverse problems for PDE
45K05Integro-partial differential equations
45N05Abstract integral equations, integral equations in abstract spaces
35R10Partial functional-differential equations
65N21Inverse problems (BVP of PDE, numerical methods)
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