Some recent results on inverse problems arising from phase-field models (Evolution Equations and Asymptotic Analysis of Solutions)
Fabrizio Colombo, Davide Guidetti, Alfredo Lorenzi, Vincenzo Vesprı · Kyoto University Research Information Repository (Kyoto University) · 2005
In this paper we collect some results recently obtained by the authors, in vari- ous settings for inverse problems arising from a phase-field model of parabolic and parabolic-hyperbolic type with memory kernels.In each case we present results of existence, together with results of uniqueness (more common in literature of inverse problems) of solutions.1 [6], [7] $\}$ $[8]$ , [9], [10], [11], [12] for phase field problems, and, for phase-field models with memory [13], [14], [18], [19] and the literature there in.In [15] there is a unified approach for a class of nonlinear parabolic inverse problems.