2012 | OriginalPaper | Buchkapitel
Identification Problems for Integrodifferential Equations
verfasst von : Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden
Erschienen in: Thermodynamics of Materials with Memory
Verlag: Springer US
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This chapter is devoted to outlining some ideas involving that part of the theory of inverse problems that is usually referred to as the identification of parameters (numbers, vectors, matrices, functions) appearing in integrodifferential equations describing the evolution of fading memory materials. We recall the celebrated definition by Hadamard of a
well-posed problem
: it requires the existence and uniqueness of the solution to the problem and its continuous dependence on data.