Geodesic
On some methods to solve integrodifferential inverse problems of parabolic type
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 8 (2015) no. 3, pp. 95-115

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In this paper we give an overview on some methods that are useful to solve a class of integrodifferential inverse problems. Precisely, we present some methods to solve integrodifferential inverse problems of parabolic type that are based on the theory of analytic semigroups, optimal regularity results and fixed point arguments. A large class of physical models can be treated with this procedure, for example phase-field models, combustion models and the strongly damped wave equation with memory to mention some of them.
Keywords: integrodifferential inverse problems; analytic semigroups. 
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     title = {On some methods to solve integrodifferential inverse problems of parabolic type},
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F. Colombo. On some methods to solve integrodifferential inverse problems of parabolic type. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 8 (2015) no. 3, pp. 95-115. http://geodesic.mathdoc.fr/item/VYURU_2015_8_3_a5/