journal: Journal of Inverse and Ill-posed Problems

Impact Factor: 1.1

Published since January 1, 1993

Journal of Inverse and Ill-posed Problems

ISSN: 1569-3945

Editor-in-chief: Sergey I. Kabanikhin

Managing Editor: Maxim A. Shishlenin

Submit manuscript

About this journal

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 problems

existence and uniqueness theorems
stability estimates
optimization and identification problems
numerical methods
machine learning
Artificial Intellegence
Big Data

Ill-posed problems

regularization theory
operator equations
integral geometry

Applications

inverse problems in geophysics, electrodynamics and acoustics
inverse problems in ecology
inverse and ill-posed problems in medicine
mathematical problems of tomography

Abstracting and Indexing

Journal of Inverse and Ill-posed Problems is covered by the following services:

Baidu Scholar
Cabells Journalytics
CNKI Scholar (China National Knowledge Infrastructure)
CNPIEC - cnpLINKer
Dimensions
EBSCO (relevant databases)
EBSCO Discovery Service
Ei Compendex
Engineering Village
Genamics JournalSeek
Google Scholar
Inspec
Japan Science and Technology Agency (JST)
J-Gate
Journal Citation Reports/Science Edition
JournalGuide
JournalTOCs
KESLI-NDSL (Korean National Discovery for Science Leaders)
Mathematical Reviews (MathSciNet)
MyScienceWork
Naver Academic
Naviga (Softweco)
Primo Central (ExLibris)
ProQuest (relevant databases)
Publons
QOAM (Quality Open Access Market)
ReadCube
Scilit
SCImago (SJR)
SCOPUS
Semantic Scholar
Sherpa/RoMEO
Summon (ProQuest)
TDNet
Ulrich's Periodicals Directory/ulrichsweb
WanFang Data
Web of Science - Current Contents/Physical, Chemical and Earth Sciences
Web of Science - Science Citation Index Expanded
WorldCat (OCLC)
X-MOL
Yewno Discover
zbMATH Open

Supplementary Materials

Topics

External Links

Volume 31 Issue 4

August 2023

Publicly Available August 1, 2023

Frontmatter

Page range: i-iv

Download PDF

February 28, 2023

Uniqueness of the potential in a time-fractional diffusion equation

Xiaohua Jing, Jigen Peng

Page range: 467-477

Abstract

This article concerns the uniqueness of an inverse coefficient problem of identifying a spatially varying potential in a one-dimensional time-fractional diffusion equation. The input sources are given by a complete system in L 2 ⁢ ( 0 , 1 ) {L^{2}(0,1)} , and measurements are observed at the end point of the spatial interval. Firstly, we provide the positive lower bound of the Green function for the differential operator with different boundary conditions. Then, based on the positive lower bound estimation of the Green function, the relationship between the Green function, the solution of the forward problem, and the potential, such measurements uniquely determine the potential on the entire interval under different boundary conditions.

March 29, 2023

A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay

Yu Ping Wang, Baki Keskin, Chung-Tsun Shieh

Page range: 479-486

Abstract

In this paper we study a partial inverse spectral problem for non-self-adjoint Sturm–Liouville operators with a constant delay and show that subspectra of two boundary value problems with one common boundary condition are sufficient to determine the complex potential. We developed the Horváth’s method in [M. Horváth, On the inverse spectral theory of Schrödinger and Dirac operators, Trans. Amer. Math. Soc. 353 2001, 10, 4155–4171] for the self-adjoint Sturm–Liouville operator without delay into the non-self-adjoint Sturm–Liouville differential operator with a constant delay.

Open Access March 29, 2023

Extracting discontinuity using the probe and enclosure methods

Masaru Ikehata

Page range: 487-575

More Download PDF

Abstract

This is a review article on the development of the probe and enclosure methods from past to present, focused on their central ideas together with various applications.

May 31, 2023

A dynamical method for optimal control of the obstacle problem

Qinghua Ran, Xiaoliang Cheng, Rongfang Gong, Ye Zhang

Page range: 577-594

Abstract

In this paper, we consider the numerical method for an optimal control problem governed by an obstacle problem. An approximate optimization problem is proposed by regularizing the original non-differentiable constrained problem with a simple method. The connection between the two formulations is established through some convergence results. A sufficient condition is derived to decide whether a solution of the first-order optimality system is a global minimum. The method with a second-order in time dissipative system is developed to solve the optimality system numerically. Several numerical examples are reported to show the effectiveness of the proposed method.

June 29, 2023

On the uniqueness of solutions in inverse problems for Burgers’ equation under a transverse diffusion

Andrey Baev

Page range: 595-609

Abstract

We consider the inverse problems of restoring initial data and a source term depending on spatial variables and time in boundary value problems for the two-dimensional Burgers equation under a transverse diffusion in a rectangular and on a half-strip, like the Hopf–Cole transformation is applied to reduce Burgers’ equation to the heat equation with respect to the function that can be measured to obtain tomographic data. We prove the uniqueness of solutions in inverse problems with such additional data based on the Fourier representations and the Laplace transformation.

June 1, 2023

On an inverse problem for a linearized system of Navier–Stokes equations with a final overdetermination condition

Muvasharkhan T. Jenaliyev, Maktagali A. Bektemesov, Madi G. Yergaliyev

Page range: 611-624

Abstract

The theory of inverse problems is an actively studied area of modern differential equation theory. This paper studies the solvability of the inverse problem for a linearized system of Navier–Stokes equations in a cylindrical domain with a final overdetermination condition. Our approach is to reduce the inverse problem to a direct problem for a loaded equation. In contrast to the well-known works in this field, our approach is to find an equation for a loaded term whose solvability condition provides the solvability of the original inverse problem. At the same time, the classical theory of spectral decomposition of unbounded self-adjoint operators is actively used. Concrete examples demonstrate that the assertions of our theorems naturally develop and complement the known results on inverse problems. Various cases are considered when the known coefficient on the right-hand side of the equation depends only on time or both on time and a spatial variable. Theorems establishing new sufficient conditions for the unique solvability of the inverse problem under consideration are proved.

June 1, 2023

Regularization operators versus regularization strategies

Thi-An Nguyen, Chun-Kong Law

Page range: 625-629

Abstract

In this note, we shall compare two important concepts of “regularization operators” and “regularization strategies” that appear in different classical monographs. The definition of a regularization operator is related to the Moore–Penrose inverse of the operator. In general, a regularization operator is a regularization strategy. We shall show that the converse is also true under some conditions. It is interesting to note that these two systems share analogous properties.

Ahead of Print / Just Accepted

Ahead of Print / Just Accepted

Volume 31 (2023)

Volume 30 (2022)

Volume 29 (2021)

Volume 28 (2020)

Volume 27 (2019)

Volume 26 (2018)

Volume 25 (2017)

Volume 24 (2016)

Volume 23 (2015)

Volume 22 (2014)

Volume 21 (2013)

Volume 20 (2012)

Volume 19 (2011)

Volume 18 (2011)

Volume 17 (2009)

Volume 16 (2008)

Volume 15 (2007)

Volume 14 (2006)

Volume 13 (2005)

Volume 12 (2004)

Volume 11 (2003)

Volume 10 (2002)

Volume 9 (2001)

Volume 8 (2000)

Volume 7 (1999)

Volume 6 (1998)

Volume 5 (1997)

Volume 4 (1996)

Volume 3 (1995)

Volume 2 (1994)

Volume 1 (1993)

Journal Impact Factor	1.1	2022, Journal Citation Reports (Clarivate, 2023)
5-year Journal Impact Factor	1.0	2022, Journal Citation Reports (Clarivate, 2023)
Journal Citation Indicator	0.82	2022, Journal Citation Reports (Clarivate, 2023)
CiteScore	2.4	2022, Scopus (Elsevier B.V., 2023)
SCImago Journal Rank	0.428	2022, SJR (Scimago Lab, 2023; Data Source: Scopus)
Source Normalized Impact per Paper	0.769	2022, CWTS Journal Indicators (CWTS B.V., 2023; Data Source: Scopus)
Mathematical Citation Quotient	0.53

More information about journal rankings

Submit

Submitting an article

... is done online to our ScholarOne online submission system at: http://mc.manuscriptcentral.com/jiip.

Contributions submitted to this journal must be written in clear and concise English. Only unpublished material can be accepted, and authors may not republish their paper in the same or similar form. The decision on the acceptance is taken after a peer-reviewing procedure. The journal makes no page charges.
The authors can provide the names and e-mail addresses of up to four potential reviewers.

Each article

... must begin with an abstract of less than 150 words. The abstract must be followed by an appropriate classification according to MSC 2010 (Mathematics Subject Classification) and a list of 3 to 6 keywords. The short title for the running head should contain at most 80 characters, spaces inclusive.
Authors are asked to follow a few basic guidelines while formatting their paper for publication, in order for the journal to be as homogeneous in appearance as possible. Please download the LaTeX class file and the respective sample file including the instructions for formatting here.
The affiliation, postal and electronic addresses of all authors should be placed at the very end of the paper.
Figures must be of sufficiently high resolution (minimum 600 dpi). Lettering of all figures within the article should be uniform in style (preferably a sans serif typeface like Helvetica) and of sufficient size (ca. 8 pt.). Uppercase letters A, B, C, etc. should be used to identify parts of multi-part figures. Cite all figures in the text in numerical order. Indicate the approximate placement of each figure. Do not embed figures within the text body of the manuscript; submit figures in separate files. In a TEX document EPS files may be incorporated into the TEX file by using one of the standard macro packages.
Provide a short descriptive title and a legend to make each figure self-explanatory. Explain all symbols used in the figures. Remember to use the same abbreviations as in the text body.

Authors are encouraged to submit illustrations in color if necessary for their scientific content. Publication of color figures is provided free of charge both in online and print editions.

References should be collected at the end of the paper, numbered with Arabic numerals in alphabetical order of the authors' names and surrounded by square brackets. Please use abbreviations for titles of journals in accordance with those listed in Mathematical Reviews.

Articles in journals:
[1] A. Carbonaro, G. Metafune and C. Spina, Parabolic Schrödinger operators, J. Math
Anal. and Appl. 343 (2008), 965-974.
Articles ahead of print:
[2] D. Farley and L. Sabalka, Presentations of graph braid groups, Forum Math. (2010), doi: 10.1515/FORM.2011.086.
Books and Monographs:
[3] I. M. Isaacs, Character theory of finite groups, AMS Chelsea Publishing, 2006.
Chapters:
[4] T. De Medts, F. Haot, R. Knop and H. Van Maldeghem, On the uniqueness of the unipotent subgroups of some Moufang sets, in: Finite Geometries, Groups, and Computation, pp. 43-66, de Gruyter, Berlin, 2006.

Galley proofs

... will be sent to all authors in due time with a request to carefully check them.

After publication

... each author will receive a PDF file of the final version for private use only.

Hybrid Open Access

In this journal, authors have the option to publish their article under an open access license. Open Access allows you as an author to retain copyright and share your findings with colleagues and interested parties worldwide without any restraints.
Please note that authors from institutions with which we have a transformative agreement can publish open access without paying an article processing charge (APC). More information on the eligible institutions and articles can be found under the "Funding and Support" tab here.

Editorial

Editor-in-Chief

Sergey I. Kabanikhin, Novosibirsk
Email: ksi52@mail.ru

Managing Editor

Maxim A. Shishlenin, Novosibirsk

Advisory Board

Avner Friedman, Columbus
Rainer Kress, Göttingen
Peter Lax, New York
Zuhair Nashed, Orlando
Vladimir V. Romanov, Novosibirsk
Pierre Sabatier, Montpellier
Vladimir V. Vasin, Ekaterinburg

Editorial Board

Giovanni Alessandrini, Trieste
Habib Ammari, Zurich
Gang Bao, Hangzhou
Tatiana Bubba, Bath
Alexander L. Bukhgeim, Novosibirsk/Whichita
Jin Cheng, Shanghai
Christian Clason, Graz
Alexander M. Denisov, Moscow
Dinh Nho Ha'o, Hanoi
Alemdar Hasanoglu, Izmir
Bernd Hofmann, Chemnitz
Thorsten Hohage, Göttingen
Maarten V. de Hoop, Houston
Masaru Ikehata, Higashihiroshima
Mikhail Yu. Kokurin, Yoshkar-Ola
Daniel Lesnic, Leeds
Jijun Liu, Nanjing
Alfred K. Louis, Saarbrücken
Vyacheslav Maksimov, Ekaterinburg
Victor Mikhaylov, St. Petersburg
Gen Nakamura, Sapporo
Andreas Neubauer, Linz
Roman G. Novikov, Paris/Moscow
Ivan Oseledets, Skolkovo
Valery V. Pickalov, Novosibirsk
Eric Todd Quinto, Medford
Ronny Ramlau, Linz
Karl Sabelfeld, Novosibirsk
Paul Sacks, Ames
Alexander Shananin, Moscow
Otmar Scherzer, Vienna
Andrey Shkalikov, Moscow
Plamen D Stefanov, West Lafayette
Gunther Uhlmann, Seattle
Yanfei Wang, Beijing
Konstantin Vorontsov, Moscow
Anatoly G. Yagola, Moscow
Masahiro Yamamoto, Tokyo
Vyacheslav A. Yurko, Saratov
Jun Zou, Hong Kong

(Deutsch)

Online ISSN: 1569-3945
Print ISSN: 0928-0219
Type: Journal
Language: English
Publisher: De Gruyter
First published: January 1, 1993
Publication Frequency: 6 Issues per Year