An identification problem for first-order degenerate differential equations

We study a rst-order identication problem in a Banach space. We discuss the nondegenerate and mainly the degenerate case. As a rst step, suitable hypotheses on the involved closed linear operators are made in order to obtain unique solvability after reduction to a nondegenerate case; the general cas...

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Bibliographic Details
Published in:Journal of optimization theory and applications 2006-07, Vol.130 (1), p.41-60
Main Authors: AL HORANI, M, FAVINI, A
Format: Article
Language:English
Subjects:
Applied sciences
Banach space
Banach spaces
Convolution
Differential equations
Exact sciences and technology
Hypotheses
Inverse problems
Linear operators
Mathematical programming
Operational research and scientific management
Operational research. Management science
Optimization
Partial differential equations
Reduction
Studies
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Summary:We study a rst-order identication problem in a Banach space. We discuss the nondegenerate and mainly the degenerate case. As a rst step, suitable hypotheses on the involved closed linear operators are made in order to obtain unique solvability after reduction to a nondegenerate case; the general case is then handled with the help of new results on convolutions. Some applications to partial differential equations motivate this abstract approach. [PUBLICATION ABSTRACT]
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-006-9083-y