Regularity estimates for elliptic systems of differential forms
Implementing Organization
Indian Institute of Science
Principal Investigator
Dr. Swarnendu Sil
Indian Institute of Science
About
The basic goal of the project is to develop a nonlinear potential theory for quasilinear systems of vector-valued differential forms, which generalises both the p-Laplace equation, p-Laplacian system and the p-curl curl operator that appears in the context of electromagnetism and fluid mechanics. Such theory for p-Laplace equation is well-developed and is being actively developed for the p-Laplacian systems. But these methods can not be applied either to the p-curl curl operator or the general case of vector-valued forms. The plan is to develop methods that is adapted to the exterior algebra structure and can handle the additional difficulties created by the non-ellipticity of the operators.
Source
Source
Anusandhan National Research Foundation/Science and Engineering Research Board (SERB), DST 2023-24
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