About some problems the transformation of information in solid state physics

At the mathematical modeling there are many problems, which do not satisfy the Hadamar's conditions. The main difficulty in solving such problems is that mathematical model and method must be linked to one another. They got the name are ill-posed problems. The bases for the solution of such tasks were laid down in the works of academicians A.N. Tikhonov, M.M. Lavrentiev, corresponding member V.K. Ivanov.This article is devoted to the study and solution of the inverse problem of solid state physics. The task is incorrect. When the error evaluation methods of the solution of ill-posed problem is necessary, we have a difficulty associated with the uncertainly of the exact solution. Therefore, to develop new effective methods of solution of inverse problems of solid state physics, assess their effectiveness and development of programs for numerical solution of this tasks are necessary. This paper describes double regularization, which allows to obtain uniform approximation of phonon crystal and estimate the error of this approximation.