bachelorthesis_fabian_gabel.bib

@inproceedings{halpern1971boolean,
  title={The Boolean Prime Ideal Theorem Does Not Imply the Axiom of Choice},
  author={Halpern, James D and L{\'e}vy, Azriel},
  booktitle={Proceedings of Symposia in Pure Mathematics},
  publisher={AMS},
  volume={13.1},
  pages={83-134},
  year={1971},
}

@book{herrlich2006axiom,
  title={Axiom of Choice},
  author={Herrlich, Horst},
  year={2006},
  publisher={Springer},
  address={Berlin -- Heidelberg}
}

@book{bartsch2015topologie,
  title={Allgemeine Topologie},
  author={Bartsch, R.},
  year={2015},
  publisher={De Gruyter},
  address={Berlin},
  edition={2.}
}
 
@book{graetzer2003general,
  title={General lattice theory},
  author={Gr{\"a}tzer, George},
  year={2003},
  publisher={Birk{\"a}user Verlag},
  address={Basel -- Boston -- Berlin},
  edition={2.}
}

@book{kelley1975general,
  title={General Topology},
  author={Kelley, John L.},
  year={1975},
  publisher={Springer},
  address={Berlin -- Heidelberg -- New York}
}

@book{jech2008axiom,
  title={The Axiom of Choice},
  author={Jech, Thomas J.},
  year={1973},
  publisher={North-Holland},
  address={Amsterdam -- London}
}

@book{ebbinghaus2003einfuhrung,
  title={Einf{\"u}hrung in die Mengenlehre},
  author={Ebbinghaus, Heinz-Dieter},
  year={2003},
  publisher={Spektrum Akademischer Verlag},
  address={Heidelberg -- Berlin}
}


@book{preuss1972topologische,
  author={Preu{\ss}, Gerhard},
  title={Allgemeine Topologie},
  year={1972},
  publisher={Springer},
  address={Berlin -- Heidelberg -- New York}
}

@book{deiser2002einfuhrung,
  title={Einf{\"u}hrung in die Mengenlehre},
  author={Deiser, Oliver},
  edition={3.},
  year={2010},
  publisher={Springer},
  address={Heidelberg -- Dodrecht -- London -- New York}
}

@mastersthesis{dau1994diplom,
   author= {Dau, Frithjof},
   title= {Der Boolesche Primidealsatz},
   year={1994},
   type={Diplomarbeit},
   school={Universität Hannover}
}

@book{poppe1974compactness,
  title={Compactness in General Function Spaces},
  author={Poppe, Harry},
  year={1974},
  publisher={Deutscher Verlag der Wissenschaften},
  address={Berlin}
}

@Incollection{Rhineghost2001,
author={Rhineghost, Y. T.},
editor={Koslowski, J{\"u}rgen and Melton, Austin},
chapter={The Naturals are Lindel{\"o}f iff Ascoli Holds},
booktitle={Categorical Perspectives},
year="2001",
publisher="Birkh{\"a}user",
address="Boston, MA",
pages="191--196",
}

@book{humphreys1972introduction,
  title={Introduction to Lie Algebras and Representation Theory},
  author={Humphreys, J. E.},
  year={1972},
  publisher={Springer},
  address={New York}
}


@book{erdmann2006introduction,
  title={Introduction to Lie Algebras},
  author={Erdmann, K. and Wildon, M. J.},
  year={2006},
  publisher={Springer},
  address={London}
}

@book{humphreys1992reflection,
  title={Reflection Groups and Coxeter Groups},
  author={Humphreys, J. E.},
  year={1990},
  publisher={Cambridge University Press},
  address={Cambridge}
}

@book{hall2015lie,
  title={Lie Groups, Lie Algebras, and Representations: An Elementary Introduction},
  author={Hall, B. C.},
  year={2015},
  publisher={Springer},
  address={Cham},
  edition={2.}
}


@book{spurk10stroemungslehre,
   author    = {Spurk, J. H. and Aksel, N.},
   title     = {Strömungslehre: Einführung in die Theorie der Strömungen},
   year      = {2010},
   publisher = {Springer},
   address   = {Berlin},
   edition   = {8.}
}

@book{werner2011fa,
  title={Funktionalanalysis},
  author={Werner, D.},
  year={2011},
  publisher={Springer},
  address={Berlin},
  edition={7.}
}

@book{sohr2001navier,
  title={The Navier-Stokes Equations: An Elementary Functional Analytic Approach},
  author={Sohr, H.},
  year={2001},
  publisher={Birkh{\"a}user/Springer Basel AG},
  address={Basel}
}

@book{adams2003sobolev,
  title={Sobolev spaces},
  author={Adams, R. and Fournier, J. J. F.},
  year={2003},
  edition={2.},
  publisher={Elsevier/Academic Press},
  address={Amsterdam}
}


@book{rudin1991fa,
  title={Functional analysis},
  author={Rudin, W.},
  year={1991},
  edition={2.},
  publisher={McGraw-Hill},
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}

@book{koenigsberger2004ana2,
  title={Analysis II},
  author={Königsberger, K.},
  year={2004},
  publisher={Springer},
  address={Berlin},
  edition={5.}
}

@book{stein1970singular,
  address = {Princeton, New Jersey},
  author = {Stein, E. M.},
  publisher = {Princeton University Press},
  title = {Singular integrals and differentiability properties of functions},
  year = 1970
}

@book{galdi2011navier,
  address = {New York},
  author = {Galdi, G. P.},
  edition = {2.},
  publisher = {Springer},
  title = {An introduction to the mathematical theory of the
              {N}avier-{S}tokes equations: Steady-state problems},
  year = 2011
}

@book{folland2009ra,
  title={A guide to advanced real analysis},
  author={Folland, G. B.},
  year={2009},
  publisher={Mathematical Association of America},
  address = {Washington, DC}
}

@article{farwig05thehelmholtz,
    author = "Farwig, R. and Kozono, H. and Sohr, H.",
    title = {The Helmholtz decomposition in arbitrary unbounded domains – A theory beyond L2},
    year = {2005}
}

@article{farwig05anLq,
title = {An {$L^q$}-approach to {S}tokes and {N}avier-{S}tokes equations in general domains},
author = "Farwig, R. and Kozono, H. and Sohr, H.",
year = "2005",
volume = "195",
pages = "21--53",
journal = "Acta Mathematica",
publisher = "Springer Netherlands",
number = "1",
}

@Article{maslennikova1986elliptic,
author="Maslennikova, V. N. and Bogovski\u{i}, M. E.",
title="Elliptic boundary value problems in unbounded domains with noncompact and nonsmooth boundaries",
journal="Rendiconti del Seminario Matematico e Fisico di Milano",
year="1986",
volume="56",
number="1",
pages="125--138",
}

@article{bogovski1986decomposition,
  title={Decomposition of $L_p(\Omega, \R^n)$ into the direct sum of subspaces of solenoidal and potential vector fields},
  author={Bogovski\u{i}, M. E.},
  journal={Soviet Mathematics Doklady},
  volume={33},
  pages={161--165},
  year={1986}
}

@incollection{simader1992new,
  title={A new approach to the {H}elmholtz decomposition and the
         {N}eumann problem in {$L^q$}-spaces for bounded and
         exterior domains},
  booktitle={Mathematical problems relating to the {N}avier-{S}tokes equation},
  author={Simader, C. G. and Sohr, H.},
  pages={1--35},
  year={1992},
  publisher={World Scientific Publishing},
  address={River Edge, New Jersey}
}

@book{necas2012direct,
  address = {Heidelberg},
  author = {Ne\v{c}as, J.},
  publisher = {Springer},
  title = {Direct Methods in the Theory of Elliptic Equations},
  year = 2012
}

@misc{clay,
author = {Clay Mathematics Institute},
title = {Millenium problems},
howpublished = {``\url{http://www.claymath.org/millennium-problems/navier%E2%80%93stokes-equation}''},
note = {``[Online; zuletzt besucht: 09.10.2016]''},
year = 2000
}

@article {helmholtz,
AUTHOR = {Helmholtz, H. von},
TITLE = {Ueber die {B}ewegungsgleichungen der {E}lektricit\"at f\"ur
                           ruhende leitende {K}\"orper},
JOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {72},
YEAR = {1870},
PAGES = {57--129},
}