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    The determination of a coefficient in a parabolic equation cylindrical coordinates

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    Author
    Gieszl, Louis Roger
    Date
    1965
    Advisor
    Jones, Frank
    Degree
    Master of Arts
    Abstract
    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.
    Citation
    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.
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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
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    Site Map