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Shape differentiability of the Neumann problem of the Laplace equation in the half-space
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SYSNO ASEP 0330018 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Shape differentiability of the Neumann problem of the Laplace equation in the half-space Title Citlivostní analýza Neumannovy úlohy pro Laplaceovu rovnici v poloprostoru Author(s) Amrouche, Ch. (FR)
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Sokolowski, J. (FR)Source Title Control and Cybernetics - ISSN 0324-8569
Roč. 37, č. 4 (2008), s. 748-769Number of pages 22 s. Language eng - English Country PL - Poland Keywords shape optimization ; Neumann problem ; half space ; material derivative Subject RIV BA - General Mathematics R&D Projects GA201/05/0005 GA ČR - Czech Science Foundation (CSF) GA201/08/0012 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000266999900002 Annotation We deal with the existence of the material derivative of the Laplace equation with the Neumann boundary condition in the half space. We consider two different perturbations of domains to get the existence of weak Gateaux material derivative and the existence of Fréchet material derivatives. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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