Identification of a convolution kernel in a control problem for the heat equation with a boundary memory term
Articolo
Data di Pubblicazione:
2014
Citazione:
Identification of a convolution kernel in a control problem for the heat equation with a boundary memory term / C. Cavaterra, D. Guidetti. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 193:3(2014 Jun), pp. 779-816.
Abstract:
We consider the evolution of the temperature u in a material with thermal memory characterized by a time-dependent convolution kernel h . The material occupies a bounded region Ω with a feedback device controlling the external temperature located on the boundary Γ . Assuming both u and h unknown, we formulate an inverse control problem for an integrodifferential equation with a nonlinear and nonlocal boundary condition. Existence and uniqueness results of a solution to the inverse problem are proved.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Integrodifferential equations; Automatic control problems; Inverse problems
Elenco autori:
C. Cavaterra, D. Guidetti
Link alla scheda completa: