Identification of a source factor in a control problem for the heat equation with a boundary memory term
Articolo
Data di Pubblicazione:
2015
Citazione:
Identification of a source factor in a control problem for the heat equation with a boundary memory term / C. Cavaterra, D. Guidetti. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 38:18(2015), pp. 4818-4839.
Abstract:
We consider a material with thermal memory occupying a bounded region Ω with boundary Γ. The evolution of the temperature u(t,x) is described by an integrodifferential parabolic equation containing a heat source of the form f(t)z0(x). We formulate an initial and boundary value control problem based on a feedback device located on Γ and prescribed by means of a quite general memory operator. Assuming both u and the source factor f are unknown, we study the corresponding inverse and control problem on account of an additional information. We prove a result of existence and uniqueness of the solution (u,f).
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
integrodifferential operators; inverse problems; memory operator; Mathematics (all); Engineering (all)
Elenco autori:
C. Cavaterra, D. Guidetti
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