Sökning: "Michail Krimpogiannis"

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  1. 1. The Double Layer Potential Operator Through Functional Calculus

    Författare :Michail Krimpogiannis; Andreas Rosén; Bengt-Ove Turesson; Kaj Nyström; Linköpings universitet; []

    Sammanfattning : Layer potential operators associated to elliptic partial differential equations have been an object of investigation for more than a century, due to their contribution in the solution of boundary value problems through integral equations.In this Licentiate thesis we prove the boundedness of the double layer potential operator on the Hilbert space of square integrable functions on the boundary, associated to second order uniformly elliptic equations in divergence form in the upper half-space, with real, possibly non-symmetric, bounded measurable coefficients, that do not depend on the variable transversal to the boundary. LÄS MER