000			01746 a2200277 4500
003			OSt
005			20250217161911.0
008			250213b xxu||||| |||| 00| 0 eng d
020			_a9783030081997
040			_cIIT Kanpur
041			_aeng
082			_a515.353 _bSh45p
100			_aShen, Zhongwei
245			_aPeriodic homogenization of elliptic systems _cZhongwei Shen
260			_bBirkhäuser _c2018 _aSwitzerland
300			_aix, 291p
440			_aOperator theory : advances and applications
490			_a / edited by Joseph A. Ball... [et al.] _v; v. 269
520			_aThis monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems in divergence form with rapidly oscillating periodic coefficients in a bounded domain. It begins with a review of the classical qualitative homogenization theory, and addresses the problem of convergence rates of solutions. The main body of the monograph investigates various interior and boundary regularity estimates that are uniform in the small parameter e>0. Additional topics include convergence rates for Dirichlet eigenvalues and asymptotic expansions of fundamental solutions, Green functions, and Neumann functions. The monograph is intended for advanced graduate students and researchers in the general areas of analysis and partial differential equations. It provides the reader with a clear and concise exposition of an important and currently active area of quantitative homogenization.
650			_aDifferential equations, Partial
650			_aDistribution (Probability theory)
650			_aHomogenization (Mathematics)
650			_aPartial differential equations, elliptic
650			_aPeriodic media
942			_cBK
999			_c567162 _d567162