Article Contents
Article Contents

# An identification problem for a linear evolution equation in a banach space

• * Corresponding author: Gabriela Marinoschi
• We study a problem of a parameter identification related to a linear evolution equation in a Banach space, using an additional information about the solution. For sufficiently regular data we provide an exact solution given by a Volterra integral equation, while for less regular data we obtain an approximating solution by an optimal control approach. Under certain hypotheses, the characterization of the limit of the sequence of the approximating solutions reveals that it is a solution to the original identification problem. An application to an inverse problem arising in population dynamics is presented.

Mathematics Subject Classification: Primary: 35R30, 47Dxx, 49J27, 49K15, 49K20, 65N21, 92D25.

 Citation:

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