Estimates of conditional stability of some combined inverse problem for Maxwell's equation and equations of porous media (Q2729320)

In mathematical modeling of the processes of vibrational treatment of oil strata, the combined inverse problem for Maxwell equations and the porous media equations are used successfully for determining the coefficients of friction, the permeability and viscosity of the conducting liquid, shear module, all-round compression, and some other quantities attracting an indirect information about oil strata.NEWLINENEWLINENEWLINEThe aim of the article is to obtain estimates for conditional stability in a sufficiently wide class of functions. For some realistic processes of the model under consideration, the author formulates the inverse problems and exposes a priori estimates for solutions which guarantee the conditional stability in a class of sufficiently smooth functions.