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HyejinPark.pdf (889.51 KB)
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NEW ASYMPTOTIC METHODS IN THE STUDY OF ANALYTIC DIFFERENTIAL AND DYNAMICAL SYSTEMS
Author Info
Park, Hyejin
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1388660868
Abstract Details
Year and Degree
2014, Doctor of Philosophy, Ohio State University, Mathematics.
Abstract
In the first part of the dissertation, we prove Borel summability in nonsingular directions of heatlike equation u_t = a(z)u_zz in the complex domain where a(z) is a quartic polynomial and the initial condition is analytic. In the special case a(z) = z we obtain the detailed resurgent structure; even in such a simple case, the structure of the singular manifolds is quite intricate. In the second part of the disseration, we provide mainly two applications of transseries and Borel summation to interesting problems such as nonelementarity of a function, and analytic factorizability of a linear operator. In the third part, we consider the dynamical system arising in submonolayer deposition model, and analyze the asymptotic behavior of the solution as t goes to infinity.
Committee
Ovidiu Costin (Advisor)
Rodica Costin (Committee Member)
Yuji Kodama (Committee Member)
Pages
78 p.
Subject Headings
Mathematics
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Citations
Park, H. (2014).
NEW ASYMPTOTIC METHODS IN THE STUDY OF ANALYTIC DIFFERENTIAL AND DYNAMICAL SYSTEMS
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1388660868
APA Style (7th edition)
Park, Hyejin.
NEW ASYMPTOTIC METHODS IN THE STUDY OF ANALYTIC DIFFERENTIAL AND DYNAMICAL SYSTEMS.
2014. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1388660868.
MLA Style (8th edition)
Park, Hyejin. "NEW ASYMPTOTIC METHODS IN THE STUDY OF ANALYTIC DIFFERENTIAL AND DYNAMICAL SYSTEMS." Doctoral dissertation, Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1388660868
Chicago Manual of Style (17th edition)
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Document number:
osu1388660868
Download Count:
752
Copyright Info
© 2014, some rights reserved.
NEW ASYMPTOTIC METHODS IN THE STUDY OF ANALYTIC DIFFERENTIAL AND DYNAMICAL SYSTEMS by Hyejin Park 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 The Ohio State University and OhioLINK.