Inverse Problems for Parabolic Differential Equations from Control Theory
DOI:
https://doi.org/10.6092/issn.2240-2829/5887Parole chiave:
Inverse problem, Hilbert space, Linear differential problem, First-Order differential equations, Second-Order differential equationsAbstract
In questo articolo vengono considerati alcuni problemi inversi relativi ad equazioni differenziali paraboliche in spazi di Hilbert, sia del primo che del secondo ordine. Tutti i risultati astratti si applicano a problemi inversi per equazioni alle derivate parziali di tipo parabolico di interesse nella fisica matematica e in teoria del controllo ottimo. In effetti, sono descritti vari esempi concreti ai quali la nostra teoria si applica.Riferimenti bibliografici
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