Asymptotic statistical inference for a stochastic heat flow problem (Q1074277)

This note demonstrates how the framework of statistical inference for Hilbert space valued stochastic differentials (SDE's) established by the second author [Stochastic Processes Appl. 17, 243-263 (1984; Zbl 0553.93059)] is made to apply in certain cases, where the parameter of interest is contained in an unbounded operator generating a semigroup on the Hilbert space. In particular, the results are relevant in the context of asymptotically effective statistical inference about surface conductance parameters in a stochastic heat flow given a direct, noise- free measurement of the sample path.