Wiki source code of Sobolev spaces, autumn 2013

Last modified by hurrisyr@helsinki_fi on 2024/03/27 10:43

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1 = The Sobolev spaces course/seminar(% style="letter-spacing: 0.1em;font-size: 18.0pt;" %), (%%)autumn 2013, =
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3 === is run by
4 (% style="color: rgb(0,0,0);line-height: 13.0pt;font-size: 10.0pt;font-weight: normal;" %) (%%) ===
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6 [[Dr Ritva Hurri-Syrjänen>>doc:mathstatHenkilokunta.Hurri-Syrjanen]]
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9 === Number of credits given to participants ===
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11 10(% style="line-height: 13.0pt;font-size: 10.0pt;" %) op.
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13 === Prerequisites ===
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15 The participants should already have knowledge of the courses Real Analysis I and the basic course on Functional Analysis.
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17 === Timetable ===
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19 Week numbers 36-42 and 44-50 Tuesday 10-12 C122, Wednesday12-14 B321.
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21 === Credits ===
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23 are awarded to the participants for giving presentations.
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25 === Some useful books ===
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27 Robert A. Adams: Sobolev Spaces, Academic Press, Boston, MA, 1975.
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29 Robert A. Adams and John J. F. Fournier: Sobolev Spaces, Second edition.-Pure and Applied Mathematics Series 140, Elsevier/Academic Press, Amsterdam, 2003.
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31 Haim Brezis: Functional Analysis, Sobolev Spaces and Partial Differential equations, Springer, New York Dordrecht Heidelberg London, 2011.
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33 David Gilbarg and Neil S. Trudinger: Elliptic Partial Differential Equations of Second Order, 2nd Edition, Revised 3rd Printing, Springer-Verlag, Berlin Heidelberg, 2001.
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35 Alois Kufner, Oldrich John and Svatopluk Fucik: Function Spaces, Noordhoff International Publishing, Leyden, 1977.
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37 Giovanni Leoni: A First Course in Sobolev Spaces, Graduate Studies in Mathematics, Volume 105, American Mathematical Society, Providence, Rhode Island, 2009.
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39 Vladimir Maz'ya: Sobolev Spaces with Applications to Elliptic Partial Differential Equations, Springer, Berlin Heidelberg, 2011.
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41 Vladimir Maz'ya and Sergey Poborchi: Differentiable Functions on Bad Domains, World Scientific, Singapore, 1997.
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43 S. L. Sobolev:Some Applications of Functional Analysis in Mathematical Physics, Third Edition, Translations of Mathematical Monographs, Volume 90, American Mathematical Society, Providence, Rhode Island, 1991.
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45 Luc Tartar: An Introduction to Sobolev Spaces and Interpolation Spaces, Lecture Notes of the Unione Matematica Italiana, Springer-Verlag, Berlin Heidelberg, 2007.
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51 === [[Course sign up>>url:https://oodi-www.it.helsinki.fi/hy/opintjakstied.jsp?html=1&Tunniste=57072||shape="rect"]] ===
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54 After 15.09.2013 please follow [[this link>>doc:mathstatOpiskelu.Kysymys4]] in order to sign up.
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