Communications in Partial Differential Equations

Top Research Topics at Communications in Partial Differential Equations?

The journal investigates areas of study like Mathematical analysis, Partial differential equation, Pure mathematics, Nonlinear system and Boundary value problem. It focused on Mathematical analysis research but expanded to cover Boundary (topology). Topics in Partial differential equation explored in it were investigated in conjunction with research in Applied mathematics, Existence theorem and Mathematical physics.

Communications in Partial Differential Equations investigates Pure mathematics research which frequently intersects with Class (set theory). It features Nonlinear system research that overlaps with concepts in Schrödinger equation. The Boundary value problem research presented places emphasis on topics like Mixed boundary condition, Free boundary problem and Neumann boundary condition.

Robin boundary condition is the primary subject of Mixed boundary condition works presented in the journal. In particular, the Initial value problem works presented emphasize discussions on Cauchy problem. The Bounded function study featured in the journal draws connections with the study of Domain (mathematical analysis).

• Mathematical analysis (71.55%)
• Partial differential equation (18.86%)
• Pure mathematics (14.91%)

What are the most cited papers published in the journal?

• An Extension Problem Related to the Fractional Laplacian (2342 citations)
• Radial Symmetry of Positive Solutions of Nonlinear Elliptic Equations in Rn (955 citations)
• A priori bounds for positive solutions of nonlinear elliptic equations (690 citations)

Research areas of the most cited articles at Communications in Partial Differential Equations:

The published papers facilitate discussions on Mathematical analysis, Partial differential equation, Nonlinear system, Pure mathematics and Boundary value problem. The works on Mathematical analysis tackled in the published papers bring together disciplines like Type (model theory) and Boundary (topology). The most cited publications facilitate discussions on Partial differential equation that incorporate concepts from other fields like Mathematical physics, Wave equation, Applied mathematics, Differential equation and Existence theorem.

What topics the last edition of the journal is best known for?

• Quantum mechanics
• Mathematical analysis
• Geometry

The previous edition focused in particular on these issues:

Communications in Partial Differential Equations primarily focuses on research topics in Mathematical analysis, Mathematical physics, Pure mathematics, Applied mathematics and Nonlinear system. While work presented in it provided substantial information on Mathematical analysis, it also covered topics in Flow (mathematics) and Boundary (topology). The research on Mathematical physics tackled can also make contributions to studies in the areas of Scattering, Compressibility and Scalar (mathematics).

The concepts on Pure mathematics presented in the journal can also apply to other research fields, including Initial value problem, Logarithm, Singularity, Monotonic function and Degenerate energy levels. Some problems in Applied mathematics that were presented in it overlapped with concepts under Class (set theory), Lipschitz continuity and Bellman equation. The Nonlinear system research presented in the journal explores the relationship between Schrödinger equation and the closely related topic of Supercritical fluid.

The most cited articles from the last journal are:

• Liouville type theorems and regularity of solutions to degenerate or singular problems part I: even solutions (17 citations)
• On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications (12 citations)
• The Fuchsian approach to global existence for hyperbolic equations (11 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

Top authors and change over time

The top authors publishing in Communications in Partial Differential Equations (based on the number of publications) are:

• Luis A. Caffarelli (17 papers) absent at the last edition,
• Michael Taylor (14 papers) absent at the last edition,
• Nicolai V Krylov (13 papers) absent at the last edition,
• Pierre-Louis Lions (13 papers) absent at the last edition,
• Eduard Feireisl (13 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in Communications in Partial Differential Equations (based on the number of publications) are:

• University of Paris (88 papers) published 3 papers at the last edition, 2 more than at the previous edition,
• University of Minnesota (49 papers) absent at the last edition,
• Sapienza University of Rome (43 papers) published 4 papers at the last edition, 1 more than at the previous edition,
• Purdue University (41 papers) absent at the last edition,
• University of Texas at Austin (40 papers) published 2 papers at the last edition the same number as at the previous edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 3.57% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 16.05% were posted by at least one author from the top 10 institutions publishing in the journal. Another 11.11% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 18.52% of all publications and 54.32% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

• Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
• Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
• Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
• Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
• Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.