Recent Developments in Ordinary and Partial Differential Equations

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: closed (30 June 2022) | Viewed by 1697

Special Issue Editor


E-Mail Website
Guest Editor
1. Faculty of Mathematics and Informatics, Sorbonne University, 75252 Paris, France
2. Department of Differential Equations, Sofia University, 1164 Sofia, Bulgaria
Interests: differential geometry; dynamic geometry; time scale calculus; dynamic equations on time scales; integral equations; ordinary differential equations; partial differential equations; stochastic differential equations; clifford algebras; clifford analysis; quaternion analysis; iso-mathematics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleague,

We are organizing an international conference on "Recent Developments in Ordinary and Partial Differential Equations". The conference will be held online during 22–26 May 2022.

The meeting aims to ensure participation of world-leading experts in diverse areas of Ordinary and Partial Differential Equations theory and applications. We also plan to attract a significant number of students and young researchers.

Conference topics include (but are not limited to) the following sections:

  1. Linear and nonlinear operators in function spaces.
  2. Differential, integral, and operator equations.
  3. Initial and boundary value problems for ordinary and partial differential equations.
  4. Numerical methods for ordinary and partial differential equations.
  5. Mathematical and computer modeling.
  6. Mathematical physics and modeling in physics.

Based on the results of conference, Special Issue of journal Axioms (ISSN 2075-1680, SCIE and Scopus indexed, Citescore 2.60) will be published.

Prof. Dr. Svetlin G. Georgiev
Guest Editor

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 submissions that pass pre-check are 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. Axioms is an international peer-reviewed open access monthly 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 2400 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.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

9 pages, 244 KiB  
Article
Remarks on Radial Solutions of a Parabolic Gelfand-Type Equation
by Tosiya Miyasita
Axioms 2022, 11(9), 429; https://doi.org/10.3390/axioms11090429 - 25 Aug 2022
Viewed by 774
Abstract
We consider an equation with exponential nonlinearity under the Dirichlet boundary condition. For a one- or two-dimensional domain, a global solution has been obtained. In this paper, to extend the result to a higher dimensional case, we concentrate on the radial solutions in [...] Read more.
We consider an equation with exponential nonlinearity under the Dirichlet boundary condition. For a one- or two-dimensional domain, a global solution has been obtained. In this paper, to extend the result to a higher dimensional case, we concentrate on the radial solutions in an annulus. First, we construct a time-local solution with an abstract theory of differential equations. Next, we show that decreasing energy exists in this problem. Finally, we establish a global solution for the sufficiently small initial value and parameter by Sobolev embedding and Poincaré inequalities together with some technical estimates. Moreover, when we take the smaller parameter, we prove that the global solution tends to zero as time goes to infinity. Full article
(This article belongs to the Special Issue Recent Developments in Ordinary and Partial Differential Equations)
Back to TopTop