Quantitative Stochastic Homogenization and Large-Scale Regularity
暫譯: 量化隨機均質化與大規模正則性
Armstrong, Scott, Kuusi, Tuomo, Mourrat, Jean-Christophe
- 出版商: Springer
- 出版日期: 2019-05-27
- 售價: $5,700
- 貴賓價: 9.5 折 $5,415
- 語言: 英文
- 頁數: 518
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3030155447
- ISBN-13: 9783030155445
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相關分類:
微積分 Calculus、數值分析 Numerical-analysis、機率統計學 Probability-and-statistics
海外代購書籍(需單獨結帳)
商品描述
Preface.- Assumptions and examples.- Frequently asked questions.- Notation.- Introduction and qualitative theory.- Convergence of the subadditive quantities.- Regularity on large scales.- Quantitative description of first-order correctors.- Scaling limits of first-order correctors.- Quantitative two-scale expansions.- Calderon-Zygmund gradient L p estimates.- Estimates for parabolic problems.- Decay of the parabolic semigroup.- Linear equations with nonsymmetric coefficients.- Nonlinear equations.- Appendices: A.The O_s notation.- B.Function spaces and elliptic equations on Lipschitz domains.- C.The Meyers L {2+\delta} estimate.- D. Sobolev norms and heat flow.- Parabolic Green functions.- Bibliography.- Index.
商品描述(中文翻譯)
前言.- 假設與範例.- 常見問題.- 符號說明.- 介紹與定性理論.- 次加量的收斂性.- 大尺度的正則性.- 一階修正項的定量描述.- 一階修正項的縮放極限.- 定量雙尺度展開.- Calderon-Zygmund 梯度 L p 估計.- 拋物問題的估計.- 拋物半群的衰減.- 具有非對稱係數的線性方程.- 非線性方程.- 附錄：A. O_s 符號.- B. Lipschitz 領域上的函數空間與橢圓方程.- C. Meyers L {2+\delta} 估計.- D. Sobolev 範數與熱流.- 拋物格林函數.- 參考文獻.- 索引.
作者簡介
S. Armstrong: Currently Associate Professor at the Courant Institute at NYU. Received his PhD from University of California, Berkeley, in 2009 and previously held positions at Louisiana State University, The University of Chicago, Univ. of Wisconsin-Madison and the University of Paris-Dauphine with the CNRS.
T. Kuusi: Currently Professor at the University of Helsinki. He previously held positions at the University of Oulu and Aalto University. Received his PhD from Aalto University in 2007.
J.-C. Mourrat: Currently CNRS research scientist at Ecole Normale Supérieure in Paris. Previously held positions at ENS Lyon and EPFL in Lausanne. Received his PhD in 2010 jointly from Aix-Marseille University and PUC in Santiago, Chile.
作者簡介(中文翻譯)
S. Armstrong：目前是紐約大學Courant Institute的副教授。於2009年在加州大學伯克利分校獲得博士學位，之前曾在路易斯安那州立大學、芝加哥大學、威斯康辛大學麥迪遜分校及法國巴黎多芬大學的CNRS任職。
T. Kuusi：目前是赫爾辛基大學的教授。之前曾在奧盧大學和阿爾托大學任職。於2007年在阿爾托大學獲得博士學位。
J.-C. Mourrat：目前是法國巴黎高等師範學校的CNRS研究科學家。之前曾在里昂高等師範學校和洛桑聯邦理工學院任職。於2010年在法國艾克斯-馬賽大學和智利聖地牙哥的PUC共同獲得博士學位。
