Rossi Costa, Luisa Inverse problems for the heat equation with time dependent conductivity. (Italian. English summary) Zbl 0589.35052 Pubbl., Ser. III, Ist. Appl. Calcolo 219, 20 pp. (1983). Summary: The determination of the unknown coefficient a(t), in the equation \(u_ t=a(t)u_{xx}\), from various situations of overspecified initial- boundary data is considered. These problems are not properly posed in the sense of Hadamard. By imposing some ”a priori” constraints, functional classes of admissible coefficients in which the maps: ”data”\(\to ''coefficient''\) are Hölder- continuous is determined. MSC: 35K05 Heat equation 35R30 Inverse problems for PDEs 35R25 Ill-posed problems for PDEs Keywords:a priori constraints; overspecified initial-boundary data; not properly posed; admissible coefficients PDFBibTeX XML