Parabolic equations without a minimum principle
Name
166325756-MIT.pdf
Description
Full printable version
Size
2.35 MB
Format
Adobe PDF
Checksum (MD5)
9600e03698a8402fa1fe7a5ef45e0f0b
Author(s)
Pang, Huadong
Advisor(s)
Daniel Stroock.
Date Issued
2007
Publisher
Massachusetts Institute of Technology
Abstract
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.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.
Includes bibliographical references (p. 63-64).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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