Shape differentiability of the Neumann problem of the Laplace equation in the half-space

0330018 - MÚ 2010 RIV PL eng J - Journal Article
Amrouche, Ch. - Nečasová, Šárka - Sokolowski, J.
Shape differentiability of the Neumann problem of the Laplace equation in the half-space.
[Citlivostní analýza Neumannovy úlohy pro Laplaceovu rovnici v poloprostoru.]
Control and Cybernetics. Roč. 37, č. 4 (2008), s. 748-769. ISSN 0324-8569
R&D Projects: GA ČR GA201/05/0005; GA ČR GA201/08/0012
Institutional research plan: CEZ:AV0Z10190503
Keywords : shape optimization * Neumann problem * half space * material derivative
Subject RIV: BA - General Mathematics
Impact factor: 0.689, year: 2008

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.

Zabýváme se existencí materiálové derivace Laplaceovy rovnice s Neumannovskou okrajovou podmínkou v poloprostoru. Uvažujeme dvě možné perturbace oblasti a obdržíme existenci slabé Gateauovy materiálové derivace a existenci Fréchetovy materiálové derivace.
Permanent Link: http://hdl.handle.net/11104/0175893