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    Continuation of solutions of elliptic systems from discrete sets with application to geometry of surfaces

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    theses (485.5Kb)
    Date
    2018-07
    Author
    Domme, Cristina Camelia
    Advisor
    Bukhgeim, Alexander L.
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    Abstract
    We obtain new estimates of stability for continuation of solutions of elliptic inequali- ties | ∂u|2 < = a|u|2 from finite discrete sets. For this we use Hormander's type of Carleman estimates for ∂-bar with boundary terms and a special weight function equal to the linear com-bination of Green's functions with singularities at points where our function is given. To estimate functions in a given domain we use not only the classical Blaschke partial sum Sn but we also introduce a new sequence of numbers Mn which gives us better estimates in the case of a finite number of observations.
    Description
    Thesis (M.S.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics
    URI
    http://hdl.handle.net/10057/15558
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