This journal aims to present original articles on the theory, numerics and applications of inverse and ill-posed problems. These inverse and ill-posed problems arise in mathematical physics and mathematical analysis, geophysics, acoustics, electrodynamics, tomography, medicine, ecology, financial mathematics etc. Articles on the construction and justification of new numerical algorithms of inverse problem solutions are also published.Issues of the Journal of Inverse and Ill-Posed Problems contain high quality papers which have an innovative approach and topical interest.The following topics are covered:Inverse problemsexistence and uniqueness theoremsstability estimatesoptimization and identification problemsnumerical methodsIll-posed problemsregularization theoryoperator equationsintegral geometryApplicationsinverse problems in geophysics, electrodynamics and acousticsinverse problems in ecologyinverse and ill-posed problems in medicinemathematical problems of tomography
本期刊旨在介绍反问题和不适定问题的理论、数值和应用方面的原创文章。这些逆问题和不适定问题出现在数学物理和数学分析、地球物理学、声学、电动力学、X线断层摄影术、医学、生态学金融数学等。文章的建设和证明新的数值算法的逆问题的解决方案也出版。期刊的逆和不适定问题包含高质量的论文,具有创新的方法和主题的兴趣。主要内容包括:反问题存在性和唯一性定理稳定性估计优化和识别问题数值方法不适定问题正则化理论算子方程积分几何反问题在地球物理学、电动力学和声学中的应用生态学中的反问题医学中的反问题和不适定问题层析成像的数学问题
A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0050
On a method for solving the inverse Sturm–Liouville problem
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0045
Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2017-0074
A logarithmic estimate for the inverse source scattering problem with attenuation in a two-layered medium
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0025
On recovering a Sturm–Liouville-type operator with the frozen argument rationally proportioned to the interval length
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0047
The enclosure method for inverse obstacle scattering over a finite time interval: VI. Using shell-type initial data
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0039
FEM-based Scalp-to-Cortex EEG data mapping via the solution of the Cauchy problem
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0065
Full reconstruction of a vector field from restricted Doppler and first integral moment transforms in ℝ n
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0028
Determination of the impulsive Sturm–Liouville operator from a set of eigenvalues
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0003
Inverse source problem for a distributed-order time fractional diffusion equation
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0006
A numerical method for an inverse source problem for parabolic equations and its application to a coefficient inverse problem
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0026
Regularization with metric double integrals for vector tomography
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0084
Learning solutions to the source inverse problem of wave equations using LS-SVM
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0066
A stability result for the determination of order in time-fractional diffusion equations
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0079
The backward problem of parabolic equations with the measurements on a discrete set
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0079
Identifying space-time dependent force on the vibrating Euler–Bernoulli beam by a boundary functional method
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0013
Quasi solution of a backward space fractional diffusion equation
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0042
Optimization method in material bodies cloaking with respect to static physical fields
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0084
The factorization and monotonicity method for the defect in an open periodic waveguide
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0088
Sampling in thermoacoustic tomography
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2020-0001
Isospectral sets for transmission eigenvalue problem
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0058
Recovering differential operators with two constant delays under Dirichlet/Neumann boundary conditions
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0074
An inverse problem for the wave equation with source and receiver at distinct points
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0004
Inverse problems for a conformable fractional Sturm–Liouville operator
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0058
On an inverse problem in photoacoustics
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0059
Inverse problem for one-dimensional wave equation with matrix potential
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0053
On a non-stationary, non-Newtonian lubrication problem with Tresca fluid-solid law
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0048
Comparing a distributed parameter model-based system identification technique with more conventional methods for inverse problems
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0006
Theory and numerical methods for solving inverse and ill-posed problems
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-5001
Inverse source problems for the Korteweg–de Vries–Burgers equation with mixed boundary conditions
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0108
Inverse problem of breaking line identification by shape optimization
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0047
Identification of an unknown shear force in a cantilever Euler–Bernoulli beam from measured boundary bending moment
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0020
Joint inversion of compact operators
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0068
An inverse dipole source problem in inhomogeneous media: Application to the EEG source localization in neonates
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2017-0120
Solving a 1-D inverse medium scattering problem using a new multi-frequency globally strictly convex objective functional
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2020-0039
On regularization of the Cauchy problem for elliptic systems in weighted Sobolev spaces
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0010
Lipschitz stability for a semi-linear inverse stochastic transport problem
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0115
Two closed novel formulas for the generalized inverse A T,S (2) of a complex matrix with given rank
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0017
Regularization of a sideways problem for a time-fractional diffusion equation with nonlinear source
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0040
Reconstruction of a crack with the incident waves and measurements inside a penetrable cavity
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0023
On dynamical reconstruction of boundary and distributed inputs in a Schlögl equation
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0048
Image reconstruction method for exterior circular cone-beam CT based on weighted directional total variation in cylindrical coordinates
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2019-0012
Identification of the interface between acoustic and elastic waves from internal measurements
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0101
The problem of determining the one-dimensional kernel of viscoelasticity equation with a source of explosive type
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0024
Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0068
Inverse problems for a class of linear Sobolev type equations with overdetermination on the kernel of operator at the derivative
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2012-0076
Differential evolution algorithm of solving an inverse problem for the spatial Solow mathematical model
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2020-0108
Stepwise regularization method for a nonlinear Riesz–Feller space-fractional backward diffusion problem
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0033
Inverse scattering for the higher order Schrödinger operator with a first order perturbation
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0036
An inverse problem for Sturm–Liouville operators on the half-line with complex weights
来源期刊:Journal of Inverse and Ill-posed ProblemsDOI:10.1515/jiip-2018-0044