Browsing by Author "Douglas, Jim, Jr."
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Item A problem in harmonic continuation in a disk(1966) Buynoski, Stephanie Ruth; Douglas, Jim, Jr.This paper treats the problem of describing the behavior of a function u bounded and harmonic in a disk, when its behavior is known on a portion B of the disk that contains an open set. If /u/ is bounded by one on the disk and bounded by E on B, then /u/ is bounded at the origin by Kie ,K2>0. The method is to complexify u, use a lemma of Carleman to bound /u/ in a neighborhood of the origin, and use a three-circle theorem of Miller to bound /u/ in the rest of the disk.Item Difference methods in the study of parabolic equations(1961) Shenk, Norman A; Douglas, Jim, Jr.Item Numerical analogs to the Schwarz alternating procedure(1961) Miller, Charles Keith; Douglas, Jim, Jr.Item The Riesz theory of quasi-compact linear operators in linear topological spaces(1961) Rhoads, Donald Harrison; Douglas, Jim, Jr.; Brown, Arleu; Salsburg, Zevi W.Item The stresses produced by uniform radial displacement of two circular hole in an infinite plate(1961) Kelly, Joseph L. (Joseph Luther), 1867-1925; Douglas, Jim, Jr.; Wilhoit, J. C.; Paslay, Paul R.Item Three circle theorems in partial differential equations and applications to improperly posed problems(1962) Miller, Keith; Douglas, Jim, Jr.