【幾何解析と偏微分方程式】
Geometric Analysis and PDEs 2009th ed.(Lecture Notes in Mathematics Vol.1977) P XII, 256 p. 09
Gursky, Matthew J.,
Lanconelli, Ermanno,
Malchiodi, Andrea,
Tarantello, Gabriella,
Wang, Xu-Jia,
Yang, Paul C.
著
Ambrosetti, Antonio,
Chang, Sun-Yung Alice,
Malchiodi, Andrea
編
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価格
\12,190(税込)
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発行年月 |
2009年06月 |
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出版国 |
ドイツ |
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言語 |
英語 |
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媒体 |
冊子 |
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装丁 |
paper |
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ページ数/巻数 |
XII, 256 p. |
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ジャンル |
洋書/理工学/数学/幾何学 |
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ISBN |
9783642016738 |
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商品コード |
0200923080 |
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本の性格 |
テキスト |
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新刊案内掲載月 |
2009年07月 |
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商品URL
| https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0200923080 |
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内容
This volume contains the notes of the lectures delivered at the CIME course GeometricAnalysis andPDEsduringtheweekofJune11–162007inCetraro (Cosenza). The school consisted in six courses held by M. Gursky (PDEs in Conformal Geometry), E. Lanconelli (Heat kernels in sub-Riemannian s- tings),A. Malchiodi(Concentration of solutions for some singularly perturbed Neumann problems), G. Tarantello (On some elliptic problems in the study of selfdual Chern-Simons vortices), X. J. Wang (Thek-Hessian Equation)and P. Yang (Minimal Surfaces in CR Geometry). Geometric PDEs are a ?eld of research which is currently very active, as it makes it possible to treat classical problems in geometry and has had a dramatic impact on the comprehension of three- and four-dimensional ma- folds in the last several years. On one hand the geometric structure of these PDEs might cause general di?culties due to the presence of some invariance (translations, dilations, choice of gauge, etc. ), which results in a lack of c- pactness of the functional embeddings for the spaces of functions associated with the problems. On the other hand, a geometric intuition or result might contribute enormously to the search for natural quantities to keep track of, andtoproveregularityoraprioriestimatesonsolutions. Thistwo-foldaspect of the study makes it both challenging and complex, and requires the use of severalre?nedtechniquestoovercomethemajordi?cultiesencountered.