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Analysis and PDE
H-index 17

Analysis and PDE

2157-5045

Published by: Mathematical Sciences Publishers

https://msp.org/apde/about/journal/about.html

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 110 55 52 17

Additional Metrics

Number of Best Scientists*: 57
Documents by Best Scientists*: 54
Top 100 Ranked Scientists*: 3
SCIMAGO H-index: 45
SCIMAGO SJR: 2.361
Impact Factor: 1.9

Overview

Top Research Topics at Analysis & PDE?

The main research concerns discussed in Analysis & PDE are Mathematical analysis, Pure mathematics, Mathematical physics, Boundary (topology) and Nonlinear system. The journal encompasses presentations on Mathematical analysis, specifically Space (mathematics), Bounded function, Wave equation, Sobolev space and Boundary value problem. Issues in Pure mathematics were discussed, taking into consideration concepts from other disciplines like Class (set theory), Type (model theory), Measure (mathematics) and Laplace operator.

The Laplace operator study featured in Analysis & PDE draws parallels with the field of Eigenvalues and eigenvectors. Mathematical physics research featured in Analysis & PDE incorporates concerns from various other topics such as Operator (physics) and Schrödinger equation. The work tackled in it goes beyond the discipline of Boundary (topology) as it also encompasses Domain (mathematical analysis).

Nonlinear Schrödinger equation is the primary subject of Nonlinear system works presented in Analysis & PDE.

  • Mathematical analysis (38.67%)
  • Pure mathematics (29.13%)
  • Mathematical physics (15.37%)

What are the most cited papers published in the journal?

  • Sharp weighted bounds involving A (222 citations)
  • Uniqueness of ground states for pseudorelativistic Hartree equations (158 citations)
  • THE MASS-CRITICAL NONLINEAR SCHRÖDINGER EQUATION WITH RADIAL DATA IN DIMENSIONS THREE AND HIGHER (137 citations)

Research areas of the most cited articles at Analysis & PDE:

The journal publications investigate areas of study like Mathematical analysis, Mathematical physics, Pure mathematics, Boundary (topology) and Wave equation. The journal papers tackle studies in Nonlinear system and the interrelated subject of Classical mechanics to gain insights into Mathematical analysis. While Pure mathematics is the focus of the most cited papers, it also provides insights into the studies of Singularity and Uniqueness.

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:

Analysis & PDE tackles a plethora of topics, such as Pure mathematics, Mathematical physics, Combinatorics, Mathematical analysis and Bounded function. Topics in Pure mathematics were tackled in line with various other fields like Space (mathematics), Class (set theory), Type (model theory) and Geodesic. The journal focuses on Mathematical physics but the discussions also offer insight into other areas such as Maxima and minima, Scattering and Schrödinger equation.

Combinatorics research in the journal involves the investigation of Riemannian manifold studies, all of which are linked to disciplines such as Closure (mathematics), Dimension (graph theory), Covering space, Sobolev space and Constant (mathematics). Singularity studies in the realm of Mathematical analysis interact with fields like Modulation (music). The Bounded function works featured in the journal incorporate elements from Absolute continuity, Hausdorff measure, Matrix (mathematics), Harmonic measure and Ball (mathematics).

The most cited articles from the last journal are:

  • The Schauder estimate for kinetic integral equations (18 citations)
  • The stability of the Minkowski space for the Einstein–Vlasov system (8 citations)
  • Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals (7 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.

The top authors publishing in Analysis & PDE (based on the number of publications) are:

  • Terence Tao (8 papers) absent at the last edition,
  • Juncheng Wei (6 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Nader Masmoudi (6 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Gunther Uhlmann (5 papers) absent at the last edition,
  • Jacques Smulevici (5 papers) published 1 paper 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.

Only papers with recognized affiliations are considered

The top affiliations publishing in Analysis & PDE (based on the number of publications) are:

  • University of California, Los Angeles (25 papers) absent at the last edition,
  • University of Paris-Sud (20 papers) absent at the last edition,
  • University of Nantes (18 papers) published 1 paper at the last edition,
  • University of Paris (17 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • Princeton University (16 papers) absent at the last 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, 2.04% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 10.42% were posted by at least one author from the top 10 institutions publishing in the journal. Another 12.50% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 20.83% of all publications and 56.25% 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.

Top Publications

  • The Calderón problem for the fractional Schrödinger equation

    Tuhin Ghosh;Mikko Salo;Gunther Uhlmann

    (2020)
    159 Citations
  • Infinite time blow-up for the 3-dimensional energy critical heat equation

    Manuel del Pino;Monica Musso;Juncheng Wei

    (2020)
    65 Citations
  • On the trace operator for functions of bounded $\mathbb{A}$-variation

    Dominic Breit;Lars Diening;Franz Gmeineder

    (2020)
    46 Citations
  • Well-posedness of the hydrostatic Navier–Stokes equations

    David Gérard-Varet;Nader Masmoudi;Vlad Vicol

    (2020)
    40 Citations
  • Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities

    Robert Jenkins;Jiaqi Liu;Peter Perry;Catherine Sulem

    (2020)
    36 Citations
  • Semiclassical eigenvalue estimates under magnetic steps

    (2024)
    36 Citations
  • Regularity of the free boundary for the vectorial bernoulli problem

    Dario Mazzoleni;Susanna Terracini;Bozhidar Velichkov

    (2020)
    30 Citations
  • On solvability and ill-posedness of the compressible Euler system subject to stochastic forces

    Dominic Breit;Eduard Feireisl;Martina Hofmanová

    (2020)
    30 Citations
  • The “good” Boussinesq equation : long-time asymptotics

    (2023)
    29 Citations
  • A bootstrapping approach to jump inequalities and their applications

    Mariusz Mirek;Elias M. Stein;Pavel Zorin-Kranich

    (2020)
    28 Citations

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Best Scientists Contributing to This Journal