Journal of Differential Equations

Journal of Differential Equations
Title	Journal of Differential Equations
Abbreviation	J. Differ. Equ.
Discipline	Mathematics
Language	English
Publisher	Academic Press
History	1966–present
Frequency	Monthly
Issn	0022-0396

Journal of Differential Equations is a peer-reviewed scientific journal focusing on research in ordinary differential equations and partial differential equations. The journal publishes original research articles, surveys, and occasional special issues that address analytical, qualitative, and applied aspects of differential equations. It serves as a venue for contributions that connect rigorous analysis with problems arising in mathematical physics, geometry, and applied mathematics.

Overview

The journal operates within the landscape of contemporary mathematical publishing alongside periodicals such as Annals of Mathematics, Inventiones Mathematicae, Communications on Pure and Applied Mathematics, Transactions of the American Mathematical Society, and Proceedings of the London Mathematical Society. Authors who submit to the journal often engage with themes relevant to scholars affiliated with institutions like Princeton University, Massachusetts Institute of Technology, University of Cambridge, Stanford University, and University of California, Berkeley. The readership overlaps with researchers who publish in venues such as SIAM Journal on Mathematical Analysis, Applied Mathematics Letters, Journal of Functional Analysis, Archive for Rational Mechanics and Analysis, and Calculus of Variations and Partial Differential Equations.

History

Established in the mid-20th century, the journal emerged during a period of expansion in mathematical analysis characterized by work from figures associated with Courant Institute, Institute for Advanced Study, École Normale Supérieure, University of Paris, and Moscow State University. Early decades saw contributions that paralleled developments in the theories advanced by scholars connected to Andrei Kolmogorov, Jean Leray, Laurent Schwartz, Israel Gelfand, and John von Neumann. The editorial lineage and publishing partnerships reflected ties to publishing houses and professional societies that included Elsevier, Academic Press, American Mathematical Society, and Society for Industrial and Applied Mathematics.

Scope and Topics Covered

The journal covers a range of subjects comparable to topics tackled in works by representatives from Courant Institute, Steklov Institute of Mathematics, Kazan Federal University, ETH Zurich, and University of Oxford. Typical subjects include existence and uniqueness theories influenced by traditions from Sofia Kovalevskaya, Émile Picard, David Hilbert, and Henri Poincaré; regularity theory with antecedents in the work of Ennio De Giorgi, Friedrichs, and E. Hopf; stability and bifurcation theory connected to research associated with Andronov, Aleksandr Lyapunov, and John Nash. The journal also accepts papers that interface with mathematical physics themes explored at CERN, Max Planck Institute for Mathematics, Los Alamos National Laboratory, and Rutherford Appleton Laboratory.

Abstracting and Indexing

The journal is indexed in major bibliographic services alongside titles indexed with entries related to Mathematical Reviews, Zentralblatt MATH, Science Citation Index, Scopus, and Web of Science. Library holdings reflect cataloging practices of institutions such as Library of Congress, British Library, National Library of France, Deutsche Nationalbibliothek, and Russian State Library. Citations to its articles appear in databases and reference lists maintained by entities like MathSciNet, CrossRef, Clarivate Analytics, Elsevier Research Intelligence, and Google Scholar.

Impact and Reception

The journal's influence is assessed in relation to citation metrics used by organizations such as Institute for Scientific Information, European Mathematical Society, Royal Society, National Academy of Sciences, and Academia Europaea. Over its publication history, articles from the journal have been cited in monographs and treatises from publishers including Springer-Verlag, Cambridge University Press, Oxford University Press, Wiley, and Princeton University Press. Reviews and retrospective discussions have appeared in newsletters and bulletins circulated by American Mathematical Society, London Mathematical Society, European Mathematical Society, and various university departments.

Editorial Board and Publication Details

The editorial structure reflects customary academic governance models similar to those at Institute of Mathematics of the Chinese Academy of Sciences, National University of Singapore, University of Toronto, University of Michigan, and Imperial College London. Editors and associate editors have typically been drawn from faculties at research centers such as Harvard University, Yale University, Columbia University, University of Chicago, and California Institute of Technology. Publication is organized on a monthly schedule with submission, peer review, and revision cycles coordinated through editorial offices that adhere to standards promoted by Committee on Publication Ethics, International Committee of Medical Journal Editors, and leading university presses.

Notable Articles and Contributions

Published works in the journal have included contributions that influenced developments related to the theories advanced by Sergiu Klainerman, Louis Nirenberg, Peter Lax, Mikhael Gromov, and Terence Tao. Landmark articles addressed topics that intersected with research at Institute des Hautes Études Scientifiques, Princeton Plasma Physics Laboratory, Courant Institute, Mathematical Institute, Oxford, and Duke University. Results from articles have been cited in award citations and prize contexts associated with honors such as the Fields Medal, Abel Prize, Chern Medal, Wolf Prize, and Millennium Prize Problems discussions, and have informed subsequent work appearing in journals including Annals of PDE, Communications in Mathematical Physics, Nonlinearity, Journal of the European Mathematical Society, and Bulletin of the American Mathematical Society.

Category:Mathematics journals