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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8 | |||
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. | ||
16 | |||
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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