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Smooth dependence on data of solutions and contact regions for a Signorini problem

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    0357509 - MÚ 2011 RIV GB eng J - Journal Article
    Eisner, Jan - Kučera, Milan - Recke, L.
    Smooth dependence on data of solutions and contact regions for a Signorini problem.
    Nonlinear Analysis: Theory, Methods & Applications. Roč. 72, 3-4 (2010), s. 1358-1378. ISSN 0362-546X. E-ISSN 1873-5215
    R&D Projects: GA AV ČR IAA100190506
    Keywords : smooth dependence on date * Signorini problem * variational inequality
    Subject RIV: BA - General Mathematics
    Impact factor: 1.279, year: 2010

    We prove that the solutions to a 2D Poisson equation with unilateral boundary conditions of Signorini type as well as their contact intervals depend smoothly on the data. The result is based on a certain local equivalence of the unilateral boundary value problem to a smooth abstract equation in a Hilbert space and on an application of the Implicit Function Theorem to that equation.
    Permanent Link: http://hdl.handle.net/11104/0195771

     
     
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