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Inverse Problems for a Compressible Fluid System continuation and inverse problems of determining spatially varying coefficients. First as retrospective views

Inverse moving source problem for time-fractional evolution equations: determination of profilesThis article is concerned with two inverse problems on determining moving source profile functions

Local Solvability and Stability of an Inverse Spectral Problem for Higher-Order Differential OperatorsIn this paper, we, for the first time, prove the local solvability and stability of an inverse

Inverse function theorem and conditions of extremum for abnormal problems with non-closed range of analysis based on inverse function theorems and Lagrange's principle. The results on these problems

Inverse Problem for Source Function in Parabolic Equation at Neumann Boundary Conditions in the source function, depending only on time, is to be unknown. It is shown that in contrast to the standard

On Gakhov’s radius for some classes of functions rE, 0 < r ≤ 1, E = {ζ: |ζ| < 1}, inside of which the external inverse boundary value problem

The punishing factors for convex pairs are 2n-1 with the set A(Ω, ∏) of functions f : Ω → ∏ holomorphic on Ω and we prove estimates for |f(n)(z)|, f ∈ A(Ω, Ω

Necessary conditions for an extremum and an inverse function theorem without a priori normality assumptions results, a variant of the inverse function theorem, at such points, is obtained.

An inverse function theorem on a cone in the neighborhood of an abnormal point sufficient conditions of second order for the existence of inverse or implicit functions.

A new algorithm of restoring the autocorrelation function of subwavelength statistic surface roughness by light scattering in integrated optical waveguide in the presence of a high additive stochastic noise approximate solution of the inverse light scattering problem permitting to restore the autocorrelation

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