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ohud Alghamdi thesis.pdf (283.66 KB)
ETD Abstract Container
Abstract Header
Removable Singularities for Holder Continuous Solutions of the Fractional Laplacian.
Author Info
Alghamdi, Ohud
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=kent1459422077
Abstract Details
Year and Degree
2016, MS, Kent State University, College of Arts and Sciences / Department of Mathematical Sciences.
Abstract
In 1958, L. Carleson showed that a set E is removable for Holder continuous solutions of the Laplacian operator if and only if its (n-2+α)-dimensional Hausdorff measure equals zero, where α is the Holder exponent of the solution. In this thesis, we extend Carleson's result to a certain of non-local pseudo-differential operator called the fractional Laplacian.
Committee
Benjamin Jaye, Assistant Professor (Advisor)
Artem Zvavitch , Professor (Committee Member)
Dmitry Ryabogin , Professor (Committee Member)
Pages
46 p.
Subject Headings
Mathematics
Keywords
Fractional Laplacian
;
Fourier transform
;
partition of unity
;
distribution theory
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Citations
Alghamdi, O. (2016).
Removable Singularities for Holder Continuous Solutions of the Fractional Laplacian.
[Master's thesis, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent1459422077
APA Style (7th edition)
Alghamdi, Ohud.
Removable Singularities for Holder Continuous Solutions of the Fractional Laplacian.
2016. Kent State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=kent1459422077.
MLA Style (8th edition)
Alghamdi, Ohud. "Removable Singularities for Holder Continuous Solutions of the Fractional Laplacian." Master's thesis, Kent State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=kent1459422077
Chicago Manual of Style (17th edition)
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Document number:
kent1459422077
Download Count:
896
Copyright Info
© 2016, some rights reserved.
Removable Singularities for Holder Continuous Solutions of the Fractional Laplacian. by Ohud Alghamdi is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by Kent State University and OhioLINK.