2026-09-20T14:13:56Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/389582022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Daniel Stroock.
Pang, Huadong
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2007-09-28T13:19:01Z
2007-09-28T13:19:01Z
2007
2007
http://hdl.handle.net/1721.1/38958
166325756
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.
64 p.
eng
Massachusetts Institute of Technology
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
Mathematics.
Parabolic equations without a minimum principle
Thesis
application/pdf
Publication
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