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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Periodic Homogenization of Elliptic Systems (Hardcover, 1st ed. 2018)
Loot Price: R3,186
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Periodic Homogenization of Elliptic Systems (Hardcover, 1st ed. 2018)
Series: Advances in Partial Differential Equations, 269
Expected to ship within 12 - 17 working days
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Total price: R3,206
Discovery Miles: 32 060
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This 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.
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