Inverse Problems for Partial Differential Equations

01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information.

This monograph in the Inverse and Ill-Posed Problems Series is devoted to identification problems of coefficients in equations of mathematical physics. It investigates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. It includes a study on the problems with Cauchy data and equations in which the Fourier transform with respect to the chosen variable is supposed to occur. Differential properties of solutions for direct problems and their behaviour under great values of time are studied on the basis of solution properties for direct problems. In addition, identification problems with one or two unknown coefficients are investigated.
This monograph will be of interest to specialists in mathematical physics, differential equations and inverse problems.