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An Introduction to Γ-Convergence

An Introduction to Γ-Convergence

Paperback

Series: Progress in Nonlinear Differential Equations and Their Appli, Book 8

CalculusGeneral Mathematics

ISBN10: 1461267099
ISBN13: 9781461267096
Publisher: Springer Nature
Published: Oct 30 2012
Pages: 341
Weight: 1.11
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
The last twentyfive years have seen an increasing interest for variational convergences and for their applications to different fields, like homogenization theory, phase transitions, singular perturbations, boundary value problems in wildly perturbed domains, approximation of variatonal problems, and non- smooth analysis. Among variational convergences, De Giorgi's r-convergence plays a cen- tral role for its compactness properties and for the large number of results concerning r -limits of integral functionals. Moreover, almost all other varia- tional convergences can be easily expressed in the language of r -convergence. This text originates from the notes of the courses on r -convergence held by the author in Trieste at the International School for Advanced Studies (S. I. S. S. A. ) during the academic years 1983-84,1986-87, 1990-91, and in Rome at the Istituto Nazionale di Alta Matematica (I. N. D. A. M. ) during the spring of 1987. This text is far from being a treatise on r -convergence and its appli- cations.

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