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Smooth dependence on data of solutions and contact regions for a Signorini problem
- 1.0357509 - 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
Number of the records: 1