Roy, Deepta (2025) Regularity estimates of Poisson’s equation. Masters thesis, Indian Institute of Science Education and Research Kolkata.
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Text (MS Dissertation of Deepta Roy (23MP023))
23MP023_Thesis_file.pdf - Submitted Version Restricted to Repository staff only Download (684kB) |
Abstract
Our aim in this project is to study regularity estimates of solutions of Laplace and Poisson’s equations. In the first chapter, we discuss the interior Schauder estimates for the Laplace and Poisson’s equations which gives Holder regularity estimates for solutions with Holder continuous data. In the second chapter, we talk about two powerful techniques,the De Giorgi iteration and the Moser iteration to estimate the maximum norm of weak solutions of Laplace and Poisson’s equations. In the third chapter, we discuss the Calderon Zygmund estimates of solutions of Poisson’s equation.
| Item Type: | Thesis (Masters) |
|---|---|
| Additional Information: | Supervisor: Dr. Rajib Dutta |
| Uncontrolled Keywords: | Regularity estimates, Poisson’s equation, Holder continuous, Calderon Zygmund estimates |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Department of Mathematics and Statistics |
| Depositing User: | IISER Kolkata Librarian |
| Date Deposited: | 08 Oct 2026 04:40 |
| Last Modified: | 08 Oct 2026 04:40 |
| URI: | http://eprints.iiserkol.ac.in/id/eprint/2370 |
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