In this paper, the problem of continuation of the solution of the ill-posed Cauchy problem for
matrix factorizations of the Helmholtz equation in a multidimensional bounded domain is …

In this paper, the problem of continuation of the ill-posed Cauchy problem solution's is
studied for matrix factorizations of the Helmholtz equation in a two-dimensional bounded …

In this paper, we present an explicit formula for the approximate solution of the Cauchy
problem for the matrix factorizations of the Helmholtz equation in a bounded domain on the …

Symmetry | Free Full-Text | Regularized Solution of the Cauchy Problem in an Unbounded
Domain Next Article in Journal Study of Weak Solutions for Degenerate Parabolic Inequalities …

In this paper, regularization combined with a preconditioning strategy is used to solve the
illconditioned linear system obtained from the approximation of the inverse Cauchy problem …

In the paper it is considered the problem of regularization of the Cauchy problem for matrix
factori-sations of the Helmholtz equation in three-dimensional unbounded domain. Using …

This paper discusses the recovering of both Dirichlet and Neumann data on some part of the
domain boundary, starting from the knowledge of these data on another part of the boundary …

Fractal Fract | Free Full-Text | Solution of the Ill-Posed Cauchy Problem for Systems of Elliptic
Type of the First Order Next Article in Journal Chaos Suppression of a Fractional-Order …

We investigate the mathematical model of the 2D acoustic waves propagation in a
heterogeneous domain. The hyperbolic first order system of partial differential equations is …

We consider an ill‐posed initial boundary value problem for the Helmholtz equation. This
problem is reduced to the inverse continuation problem for the Helmholtz equation. We …