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020 ▼a 9780438174733
035 ▼a (MiAaPQ)AAI10825992
035 ▼a (MiAaPQ)washington:18565
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 248032
0820 ▼a 510
1001 ▼a Iyer, Karthik.
24510 ▼a Inverse Problems for Linear and Non-linear Elliptic Equations.
260 ▼a [S.l.] : ▼b University of Washington., ▼c 2018
260 1 ▼a Ann Arbor : ▼b ProQuest Dissertations & Theses, ▼c 2018
300 ▼a 103 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B.
500 ▼a Adviser: Gunther Uhlmann.
5021 ▼a Thesis (Ph.D.)--University of Washington, 2018.
520 ▼a An inverse problem is a mathematical framework that is used to obtain information about a physical object or system from observed measurements. A typical inverse problem is to recover the coefficients of a partial differential equation from meas
520 ▼a This thesis research makes two primary contributions to uniqueness aspects of elliptic inverse problems. First, we prove that the knowledge of Dirichlet-to-Neumann map for a rough first order perturbation of the poly-harmonic operator in a bound
520 ▼a Second, we show that for a quasi-linear elliptic equation, a perfect cloak can be obtained via a singular change of variables scheme and an approximate cloak can be achieved via a regular change of variables scheme. These approximate cloaks turn
590 ▼a School code: 0250.
650 4 ▼a Mathematics.
690 ▼a 0405
71020 ▼a University of Washington. ▼b Mathematics.
7730 ▼t Dissertation Abstracts International ▼g 79-12B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0250
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T14998833 ▼n KERIS
980 ▼a 201812 ▼f 2019
990 ▼a 관리자