Special Issue "Modern Analysis and Partial Differential Equation"
Deadline for manuscript submissions: closed (30 June 2020).
Interests: Analysis (functional analysis, operator theory)
Interests: Harmonic analysis, Microlocal analysis, Geometric analysis, Partial differential equations
Modern analysis, including but not limited to harmonic analysis, functional analysis, microlocal analysis, and geometry analysis is a central topic within mathematical analysis. Growing out of classical Fourier and harmonic analysis, it has developed broadly into many fields of mathematical analysis and partial differential equations, both pure and applied.
This Special Issue, titled “Modern Analysis and Partial Differential Equations,” is designed to promote the modern analysis method in general, but with a preference for application- oriented papers or survey papers describing concrete aspects of modern analysis and their applications to partial differential equations.
As example topics (though it is not an exhaustive list) let us mention the following areas on Euclidean space or manifolds: operator theory and operator algebra, Fourier Analysis (of functions or distributions), microlocal analysis, harmonic or wavelet analysis, pseudo-differential and Fourier integral operators, dynamic behavior of linear or nonlinear dispersive equations, transport equation and kinetic theory, fluid mechanics, quantum mechanics and more.
Each paper should clearly indicate its focus and motivation for the setting and what kind of impact one may expect from the results presented in this paper.
Prof. Dr. Peng Cao
Prof. Dr. Junyong Zhang
Prof. Dr. Jonathan Ben-Artzi
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.