Parabolic equations without a minimum principle
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2007
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| Online Access: | http://hdl.handle.net/1721.1/38958 |
| _version_ | 1811072728743018496 |
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| author | Pang, Huadong |
| author2 | Daniel Stroock. |
| author_facet | Daniel Stroock. Pang, Huadong |
| author_sort | Pang, Huadong |
| collection | MIT |
| description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007. |
| first_indexed | 2024-09-23T09:11:05Z |
| format | Thesis |
| id | mit-1721.1/38958 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T09:11:05Z |
| publishDate | 2007 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/389582022-01-13T07:54:35Z Parabolic equations without a minimum principle Pang, Huadong Daniel Stroock. Massachusetts Institute of Technology. Dept. of Mathematics. Massachusetts Institute of Technology. Department of Mathematics Mathematics. Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007. Includes bibliographical references (p. 63-64). In this thesis, we consider several parabolic equations for which the minimum principle fails. We first consider a two-point boundary value problem for a one dimensional diffusion equation. We show the uniqueness and existence of the solution for initial data, which may not be continuous at two boundary points. We also examine the circumstances when these solutions admit a probabilistic interpretation. Some partial results are given for analogous problems in more than one dimension. by Huadong Pang. Ph.D. 2007-09-28T13:19:01Z 2007-09-28T13:19:01Z 2007 2007 Thesis http://hdl.handle.net/1721.1/38958 166325756 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 64 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Pang, Huadong Parabolic equations without a minimum principle |
| title | Parabolic equations without a minimum principle |
| title_full | Parabolic equations without a minimum principle |
| title_fullStr | Parabolic equations without a minimum principle |
| title_full_unstemmed | Parabolic equations without a minimum principle |
| title_short | Parabolic equations without a minimum principle |
| title_sort | parabolic equations without a minimum principle |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/38958 |
| work_keys_str_mv | AT panghuadong parabolicequationswithoutaminimumprinciple |