Collocation scheme for the identification of coefficients in nonlinear parabolic equations
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The identifiability of functions describing nonlinear radiation and source terms in the one-dimensional heat equation is considered. It is shown that a monotone sequence of temperature measurements on one boundary is sufficient to determine a unique piecewise linear function which yields the desired temperature response. As a consequence, it is shown that the temperature can be controlled by this piecewise linear function. Numerical results are presented.
Proceedings of the IEEE Conference on Decision and Control
author list (cited authors)
Pilant, M., & Rundell, W.
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