An Introduction to Γ-Convergence: 8 (Progress in Nonlinear Differential Equations and Their Applications, 8) - Hardcover

Dal Maso, Gianni

Hardcover

ISBN 10: 081763679X ISBN 13: 9780817636791

Publisher: Birkhäuser, 1993

Synopsis

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.

About this title

Synopsis:

Provides a self-contained systematic presentation of a notion of "variational convergence," called [gamma] convergence, that has been developed in the last 25 years in connection with the study of homogenization problems in the mathematical theory of composite materials, and has been applied to the study of phase transitions, singular perturbations

About this edition

• Publisher: Birkhäuser
• Publication date: 1993
• ISBN 10: 081763679X
• ISBN 13: 9780817636791
• Binding: Hardcover
• Number of pages: 355