Jones, Frank2016-04-222016-04-221965Gieszl, Louis Roger. "The determination of a coefficient in a parabolic equation cylindrical coordinates." (1965) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/89789">https://hdl.handle.net/1911/89789</a>.https://hdl.handle.net/1911/89789B. 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 ppengCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.ThesisRICE0821reformatted digitalThesis Math. 1965 Gieszl