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Smooth dependence on data of solutions and contact regions for a Signorini problem
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SYSNO ASEP 0357509 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Smooth dependence on data of solutions and contact regions for a Signorini problem Author(s) Eisner, Jan (MU-W) SAI
Kučera, Milan (MU-W) RID, SAI, ORCID
Recke, L. (DE)Source Title Nonlinear Analysis: Theory, Methods & Applications. - : Elsevier - ISSN 0362-546X
Roč. 72, 3-4 (2010), s. 1358-1378Number of pages 21 s. Language eng - English Country GB - United Kingdom Keywords smooth dependence on date ; Signorini problem ; variational inequality Subject RIV BA - General Mathematics R&D Projects IAA100190506 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) UT WOS 000273188500024 DOI 10.1016/j.na.2009.08.014 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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