dc.contributor.advisor Jones, Frank Gieszl, Louis Roger 2016-04-22T21:58:31Z 2016-04-22T21:58:31Z 1965 Gieszl, Louis Roger. "The determination of a coefficient in a parabolic equation cylindrical coordinates." (1965) Master’s Thesis, Rice University. https://hdl.handle.net/1911/89789. https://hdl.handle.net/1911/89789 B. F. Jones (Ph.D. Thesis, Rice University, 1961) proved the existence and uniqueness of a solution of a one space variable diffusion equation ut a(t) uxx , where a(t) is an unknown function of time. This article considers the analogous problem for a cylindrical region with symmetry with respect to 8 . In particular, we consider the system (separately for r>1 and r<1) We take the five theorems in Jones' paper as Properties a through e ; and, by taking the appropriate bounds on the function M, we show that L defined by (5) satisfies the five properties. Thus, (1) has a unique solution. 54 pp eng The determination of a coefficient in a parabolic equation cylindrical coordinates RICE0821 Thesis Text Mathematics Natural Sciences Rice University Masters Master of Arts reformatted digital Thesis Math. 1965 Gieszl
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