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The Inverse Problem for the Heat Equation with Two Unknown Coefficients
We solve the simultaneous recovery of thermal conductivity and a high-frequency coefficient of a source in a one-dimensional initial-boundary value...
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Inverse Problem of Determining Two Coefficients of Lower-Order Terms in a Mixed Parabolic-Hyperbolic Equation
AbstractDirect and inverse problems for a model equation of mixed parabolic-hyperbolic type are studied. In the direct problem, we consider a...
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R. Chan’s circulant-based approximate inverse preconditioning iterative method for solving second-order space fractional advection–dispersion equations with variable coefficients
In this paper, we consider a second-order approximation scheme for the space fractional advection–diffusion equations with variable coefficients....
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Inverse Problem for a Structural Acoustic System with Variable Coefficients
We consider stability in an inverse problem of determining the material coefficient matrix for a coupled system that describes acoustic interactions,...
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Inverse problem estimation of internal heat transfer coefficients in ducts through a time-dependent reciprocity functional method
The reciprocity function method is presented in this work as a powerful tool for the transient inverse estimation of steady internal heat transfer...
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Inverse Formulas for the Fourier Coefficients of Meromorphic Functions in a Half-Plane
We obtain inverse formulas for the Fourier coefficients of functions in the space of just meromorphic functions in the upper half-plane of complex...
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Nonlinear Inverse Problems for Parabolic Equations with Time–Dependent Coefficients. Reduction to Nonlocal Problems with Samarskii–Ionkin Type Conditions
We consider coefficient inverse problems of finding a solution and a time-dependent coefficient of a parabolic equation under boundary...
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Moduli difference of successive inverse coefficients for certain classes of close-to-convex functions
In this paper, we answer the questions raised in the paper [On the difference of inverse coefficients of univalent functions, Symmetry, 2020, 12(12),...
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Inverse Spectral Problem for the Third-Order Differential Equation
This paper is concerned with the inverse spectral problem for the third-order differential equation with distribution coefficient. The inverse...
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Inverse and Moore–Penrose inverse of conditional matrices via convolution
Moore–Penrose inverse emerges in statistics, neural networks, machine learning, applied physics, numerical analysis, tensor computations, solving...
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Counterexample to Barcilon’s Uniqueness Theorem for the Fourth-Order Inverse Spectral Problem
In this paper, we construct a counterexample to the uniqueness theorem by Barcilon (Geophys J Int 38(2):287–298, 1974), which is well-known in the...
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Inverse Problems of Recovering a Source in a Stratified Medium
We consider the inverse problem of recovering the source function with pointwise overdetermination conditions. The source is represented as a finite...
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Half inverse problem and interior inverse problem for the Dirac operators with discontinuity
In this paper, the half inverse problem and interior inverse problems for Dirac operators with discontinuity inside the interval (0, T ) is...
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On inverse problems for several coupled PDE systems arising in mathematical biology
In this paper, we propose and study several inverse problems of identifying/determining unknown coefficients for a class of coupled PDE systems by...
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Pascal-like matrix with double factorial binomial coefficients
We introduce a variation of a Pascal-like matrix which includes double factorial binomial coefficients and show that it satisfies several properties....
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Study of the Inverse Problems of Thermoelasticity for Inhomogeneous Materials
Under study is the coefficient inverse problem of thermoelasticity for finite inhomogeneous bodies. We obtain the operator equations of the first...
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On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension
In this paper, we solve the problem of computing the inverse in Clifford algebras of arbitrary dimension. We present basis-free formulas of different...