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- Title
Roadmap of the Multiplier Method for Partial Differential Equations.
- Authors
Alvarez-Valdez, Juan Arturo; Fernandez-Anaya, Guillermo
- Abstract
This review paper gives an overview of the method of multipliers for partial differential equations (PDEs). This method has made possible a lot of solutions to PDEs that are of interest in many areas such as applied mathematics, mathematical physics, engineering, etc. Looking at the history of the method and synthesizing the newest developments, we hope to give it the attention that it deserves to help develop the vast amount of work still needed to understand it and make the best use of it. It is also an interesting and a relevant method in itself that could possibly give interesting results in areas of mathematics such as modern algebra, group theory, topology, etc. The paper will be structured in such a manner that the last review known for this method will be presented to understand the theoretical framework of the method and then later work done will be presented. The information of four recent papers further developing the method will be synthesized and presented in such a manner that anyone interested in learning this method will have the most relevant information available and have all details cited for checking.
- Subjects
PARTIAL differential equations; ABSTRACT algebra; MATHEMATICAL physics; GROUP theory; NOETHER'S theorem
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 22, p4572
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11224572