POTENTIAL ANALYSIS

Scope & Guideline

Exploring the Depths of Mathematical Potential

Introduction

Welcome to your portal for understanding POTENTIAL ANALYSIS, featuring guidelines for its aims and scope. Our guidelines cover trending and emerging topics, identifying the forefront of research. Additionally, we track declining topics, offering insights into areas experiencing reduced scholarly attention. Key highlights include highly cited topics and recently published papers, curated within these guidelines to assist you in navigating influential academic dialogues.
LanguageEnglish
ISSN0926-2601
PublisherSPRINGER
Support Open AccessNo
CountryNetherlands
TypeJournal
Convergefrom 1992 to 2024
AbbreviationPOTENTIAL ANAL / Potential Anal.
Frequency8 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressVAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS

Aims and Scopes

The journal "POTENTIAL ANALYSIS" focuses on a wide array of mathematical theories and applications, particularly in the realm of potential theory, stochastic processes, and partial differential equations (PDEs). The journal serves as a platform for researchers to disseminate novel findings, methodologies, and theoretical advancements in these areas.
  1. Potential Theory and Analysis:
    The journal emphasizes potential theory, which includes studies on harmonic functions, capacities, and associated operators. Research in this area often explores the mathematical foundations and applications of potential theory in various contexts.
  2. Stochastic Processes and PDEs:
    A significant portion of the journal's content deals with stochastic processes and their interactions with PDEs. This includes the analysis of stochastic differential equations (SDEs), large deviation principles, and their applications in mathematical physics and finance.
  3. Nonlinear Analysis:
    The journal showcases research on nonlinear phenomena, including nonlinear PDEs, variational methods, and inequalities. This encompasses studies on the existence, uniqueness, and regularity of solutions to complex mathematical models.
  4. Geometric Analysis:
    Research exploring geometric aspects of analysis, such as the study of manifolds, curvature, and geometric inequalities, is a core focus. This includes the examination of heat kernels, energy forms, and spectral theory in geometric contexts.
  5. Functional Inequalities and Operator Theory:
    The journal features contributions on functional inequalities, operator theory, and their applications in analysis. This includes the study of Sobolev spaces, Hardy spaces, and various inequalities that govern the behavior of functions and operators.
  6. Harmonic Analysis:
    Papers often delve into harmonic analysis, focusing on Fourier analysis, singular integrals, and their applications in various mathematical fields. This includes the study of function spaces and the properties of harmonic functions.
The journal "POTENTIAL ANALYSIS" has adapted to the evolving landscape of mathematical research, embracing emerging themes and methodologies. This section highlights the recent trends observed in the journal's publications, reflecting the dynamic nature of the field.
  1. Stochastic Analysis and Applications:
    There is a marked increase in papers addressing stochastic analysis, particularly concerning SDEs and their applications in various scientific fields. This trend reflects the growing interest in probabilistic methods and their implications for understanding complex systems.
  2. Nonlocal and Fractional PDEs:
    Recent publications show a significant focus on nonlocal and fractional PDEs, indicating a shift towards exploring generalized solutions and their properties. This emerging theme is crucial for addressing modern challenges in analysis and mathematical modeling.
  3. Geometric and Functional Inequalities:
    An upward trend in research on geometric inequalities and their functional counterparts has been noted. This includes studies on the interplay between geometry, analysis, and topology, which are increasingly relevant in contemporary mathematical discourse.
  4. Higher-Dimensional and Metric Measure Spaces:
    Research exploring higher-dimensional analysis and the properties of metric measure spaces is gaining traction. This trend highlights the importance of understanding geometry in the context of modern analysis and its applications to various mathematical fields.
  5. Advanced Operator Theory:
    The journal has seen an increase in contributions related to advanced operator theory, particularly concerning non-linear and multi-linear operators. This reflects a broader interest in understanding the complexities of operator behavior in various functional spaces.

Declining or Waning

While "POTENTIAL ANALYSIS" has maintained a robust focus on numerous mathematical disciplines, certain themes have shown a decline in prominence over recent years. This section identifies these waning scopes, reflecting shifts in research interests within the mathematical community.
  1. Classical Potential Theory:
    Research that strictly adheres to classical potential theory has seen a decrease. While foundational studies remain relevant, there is a growing shift towards more complex and applied aspects of potential theory, particularly in stochastic contexts.
  2. Basic Sobolev Spaces:
    The exploration of traditional Sobolev spaces without considering more advanced or generalized forms has declined. Researchers are increasingly focusing on variable exponent Sobolev spaces and their applications, thereby overshadowing classical studies.
  3. Elementary PDE Techniques:
    The use of basic techniques in the analysis of PDEs has waned, as the field advances towards more sophisticated approaches that incorporate stochastic methods and complex geometrical considerations.
  4. Single-Dimensional Analysis:
    Research focused solely on one-dimensional problems has become less common, with a noticeable trend towards multi-dimensional analysis and its applications in higher-dimensional spaces.

Similar Journals

JOURNAL OF FUNCTIONAL ANALYSIS

Inspiring Collaboration in the World of Functional Analysis
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCEISSN: 0022-1236Frequency: 24 issues/year

The JOURNAL OF FUNCTIONAL ANALYSIS, published by Academic Press Inc Elsevier Science, stands as a premier platform in the field of analysis, encompassing a broad spectrum of topics pertinent to functional analysis and its applications. With an impressive impact factor and categorized in Q1 for the year 2023, it ranks as one of the top journals in Mathematics (Analysis), placing it in the 77th percentile among its peers. This journal, founded in 1967, continues to provide researchers, professionals, and students with cutting-edge insights, rigorous publications, and a vibrant forum for scholarly discourse. The journal remains committed to advancing knowledge in the discipline and fostering an environment that encourages innovation and collaboration. Although it does not offer open access options, its high standards for publication ensure that each issue is replete with high-quality research that significantly contributes to the field. The journal's comprehensive coverage aligns well with the evolving landscape of functional analysis, making it an indispensable resource for anyone seeking to deepen their understanding and engage with current trends in this essential area of mathematics.

Topological Methods in Nonlinear Analysis

Pioneering Research in Topological Nonlinear Analysis
Publisher: NICOLAUS COPERNICUS UNIV TORUN, JULIUSZ SCHAUDER CTR NONLINEAR STUDIESISSN: 1230-3429Frequency: 4 issues/year

Topological Methods in Nonlinear Analysis, published by the NICOLAUS COPERNICUS UNIVERSITY TORUN in collaboration with the JULIUSZ SCHAUDER CENTRE FOR NONLINEAR STUDIES, is an esteemed journal dedicated to advancing the field of nonlinear analysis through topological methodologies. With a strong emphasis on both theoretical and practical implications, this journal aims to bridge the gap between abstract mathematical concepts and their applications across various disciplines. As a part of the rigorous academic landscape, it holds a commendable Q2 ranking in both Analysis and Applied Mathematics, indicating its significant influence among peers. The journal is indexed in Scopus, ranking in the fourth quartile for Mathematics and Applied Mathematics, and appeals to a diverse audience of researchers, professionals, and students eager to explore innovative approaches in nonlinear analytical techniques. The journal has been actively publishing articles since 2009 and continues to elucidate the complex interactions within nonlinear systems, making it a vital resource for the mathematical community seeking to expand their knowledge and contribute to cutting-edge research.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS

Bridging Disciplines, Advancing Knowledge
Publisher: ROCKY MT MATH CONSORTIUMISSN: 0035-7596Frequency: 6 issues/year

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, published by the Rocky Mountain Math Consortium, serves as a critical platform for researchers and practitioners in the field of mathematics since its inception in 1971. With a notable presence in the academic community, this journal covers a broad spectrum of mathematical disciplines, positioning itself in the Q2 category for Mathematics (miscellaneous) as of 2023. Despite being a subscription-based journal, it is recognized for its rigorous peer-review process and contributions to theoretical and applied mathematics, helping to advance knowledge and foster collaboration among mathematicians. The journal's ISSN number is 0035-7596 and its E-ISSN is 1945-3795, reflecting its commitment to accessibility and dissemination of high-quality research. Based in Tempe, Arizona, at Arizona State University, the journal continues to play an important role in shaping contemporary mathematical discourse through well-researched articles and innovative studies, aiming to bridge gaps between various mathematical subfields and engage a diverse audience, including students and established researchers alike.

Journal of Pseudo-Differential Operators and Applications

Fostering interdisciplinary insights in mathematical analysis.
Publisher: SPRINGER BASEL AGISSN: 1662-9981Frequency: 4 issues/year

The Journal of Pseudo-Differential Operators and Applications is a prestigious academic publication dedicated to advancing the theoretical and practical understanding of pseudo-differential operators and their applications in various fields, including mathematical analysis and applied mathematics. Published by SPRINGER BASEL AG in Switzerland, this journal holds a commendable Q2 ranking in both the Analysis and Applied Mathematics categories for 2023, indicating its significance in the academic community. Since its inception in 2010, it has continuously contributed to the dissemination of high-quality research and innovative methodologies, making it a vital resource for researchers, professionals, and students alike. The journal welcomes contributions that explore both the fundamental aspects and the applications of pseudo-differential operators, fostering interdisciplinary collaboration and knowledge exchange. By providing a platform for groundbreaking research, the Journal of Pseudo-Differential Operators and Applications plays a crucial role in shaping contemporary developments in mathematical sciences.

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

Bridging Theory and Application in Analysis
Publisher: EUROPEAN MATHEMATICAL SOC-EMSISSN: 0232-2064Frequency: 4 issues/year

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, published by the European Mathematical Society, stands as a vital resource in the fields of analysis and applied mathematics. With an ISSN of 0232-2064 and E-ISSN 1661-4534, this esteemed journal has been disseminating high-quality research since its inception in 1996, converging its efforts through 2024. Recognized within Q2 quartiles of both analysis and applied mathematics categories, it ranks #98 out of 193 in Mathematics _ Analysis and #379 out of 635 in Mathematics _ Applied Mathematics according to Scopus, affirming its significant impact within the academic community. Although not open access, the journal provides a platform for rigorous peer-reviewed articles that foster the interplay between theoretical insights and practical applications, catering to the needs of researchers, professionals, and students alike. With its editorial board comprised of leading experts, ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN continues to advance mathematical knowledge, making it an essential journal for those aiming to stay at the forefront of analysis and its applications.

ACTA MATHEMATICA SCIENTIA

Pioneering Discoveries in Mathematics and Astronomy
Publisher: SPRINGERISSN: 0252-9602Frequency: 6 issues/year

ACTA MATHEMATICA SCIENTIA is a reputable academic journal published by Springer, primarily focusing on the interdisciplinary fields of mathematics and physics. With an ISSN of 0252-9602 and an E-ISSN of 1572-9087, the journal has established itself as an influential platform for researchers and professionals seeking to disseminate novel findings in these domains. Based in the Netherlands, the journal holds a commendable Q2 category ranking in both Mathematics and Physics & Astronomy for 2023, reflecting its significance in the academic community. With a focus extending from 1996 to 2024, ACTA MATHEMATICA SCIENTIA serves as a vital resource for scholars, offering insights that bridge theoretical and applied sciences. Published under rigorous peer review, the journal fosters a robust scholarly dialogue and encourages innovative research that challenges existing paradigms. While access is not open, the journal's contributions are of paramount importance for advancing knowledge in the mathematical sciences and their applications in physical contexts.

Journal of Mathematical Analysis

Fostering Global Collaboration in Mathematical Research
Publisher: UNIV PRISHTINESISSN: 2217-3412Frequency: 6 issues/year

The Journal of Mathematical Analysis, published by UNIV PRISHTINES in Serbia, offers a dedicated platform for the dissemination of innovative research in the fields of mathematical analysis and applied mathematics. With an ISSN of 2217-3412 and a convergence period from 2020 to 2024, this journal aims to foster significant advancements in both theoretical and practical aspects of mathematics. Categorized in the Q4 quartile for Analysis, Applied Mathematics, and miscellaneous Mathematics as of 2023, it serves as an essential resource for researchers and professionals alike, providing key insights into the evolving landscape of mathematical inquiry. Although it is an open access journal, facilitating global readership, its Scopus rankings reflect its emerging status, with rankings indicating a 51st percentile in Mathematics (miscellaneous) and 28th percentile in Applied Mathematics. This journal not only aims to contribute to academic discourse but also seeks to bridge gaps between mathematical theory and real-world applications, making it a vital resource for students and professionals engaged in the complexities of mathematical research.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Transforming Theory into Practical Solutions
Publisher: PERGAMON-ELSEVIER SCIENCE LTDISSN: 0362-546XFrequency: 12 issues/year

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, published by PERGAMON-ELSEVIER SCIENCE LTD in the United Kingdom, is a premier journal that has been advancing the field of nonlinear analysis since its inception in 1976. This esteemed journal has a commendable impact factor, reflecting its crucial role in disseminating high-quality research in Analysis and Applied Mathematics, having achieved Q1 rankings in both categories for 2023. With an impressive Scopus ranking of #36 out of 193 in Mathematics-Analysis and #194 out of 635 in Mathematics-Applied Mathematics, it provides a platform for groundbreaking studies that push the boundaries of theoretical and applied methodologies. Although it operates through a subscription model, the journal’s comprehensive content serves as an invaluable resource for researchers, professionals, and students alike, contributing to the ongoing dialogue in the field and fostering advancements in technology and science.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Pioneering Research in Analysis and Applications
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCEISSN: 0022-247XFrequency: 24 issues/year

The JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, published by Academic Press Inc Elsevier Science, represents a leading platform in the fields of mathematical analysis and applied mathematics. With its esteemed Q1 ranking in Analysis and Q2 in Applied Mathematics, this journal plays a vital role in disseminating high-quality research that addresses complex mathematical problems and their applications in various scientific domains. Covering a broad spectrum of topics, the journal has been a cornerstone of mathematical scholarship since its inception in 1960 and continues to thrive with contributions from prominent researchers across the globe, expected to extend through 2025. The journal is indexed in Scopus, currently ranking #60 out of 193 in Mathematics Analysis and #281 out of 635 in Applied Mathematics, reflecting its significant impact in the academic community. Although it does not offer open access options, researchers and professionals are encouraged to subscribe to access cutting-edge findings and insights. As an essential resource, the journal fosters the advancement of mathematical theories and their practical applications, making it indispensable for mathematicians, academics, and industry professionals alike.

Constructive Mathematical Analysis

Empowering Innovative Research in Mathematical Analysis
Publisher: Tuncer ACARISSN: Frequency: 4 issues/year

Constructive Mathematical Analysis is a distinguished open-access journal dedicated to advancing the field of mathematical analysis, specifically through constructive methods. Published by Tuncer ACAR and affiliated with Selcuk University in Turkey, this journal has been making a significant impact in the academic community since its inception in 2018. With an emerging presence in Scopus, it has earned a Q2 ranking in key categories including Analysis, Applied Mathematics, and Numerical Analysis for 2023, reflecting its commitment to high-quality research contributions. By providing a platform for innovative research and interdisciplinary approaches, "Constructive Mathematical Analysis" aims to facilitate collaboration among researchers, educators, and students in their pursuit of knowledge in mathematical science. With its open-access model, the journal ensures that research findings are accessible to a global audience, fostering an inclusive academic environment.