Small Parameter Method in Multidimensional Inverse Problems
摘要
Part 1 The notion of asymptotic convergence. Part 2 Asymptotic models for equations of mathematical physics: asymptotic the Helmholtz equation asymptotic models for the equation of the contact gravimetry problem asymptotic models for equations of geometric optics asymptotic models for Maxwell equation system the dual asymptotic models for the elliptic system the dual asymptotic models for the Maxwell equation system. Part 3 The iterative methods for solution of multidimensional inverse problems on the basis of the asymptotic models: on quasi-solution uniqueness of operator equations asymptotic approximation to the inverse problem solution for the Helmholtz equation conditions for applications of the iterative asymptotic method for solution of multidimensional problems the asymptotic method for solution of the inverse gravimetry problem (Part contents).