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Birkhauser An Introduction to Gamma-Convergence: Nonlinear Differential Equations

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Description

This comprehensive volume from Birkhauser introduces gamma-convergence, a fundamental concept in variational analysis developed by De Giorgi. Over the past twenty-five years, gamma-convergence has become essential for studying variational problems across multiple mathematical disciplines. The book explores its applications to homogenization theory, phase transitions, singular perturbations, and boundary value problems in complex domains. Gamma-convergence's compactness properties and effectiveness in determining limits of integral functionals make it central to modern analysis. The text demonstrates how other variational convergences relate to gamma-convergence, providing a unified framework for understanding nonlinear differential equations and their variational formulations. This is the eighth volume in Birkhauser's Progress in Nonlinear Differential Equations and Their Applications series.

Key Features

Covers De Giorgi's gamma-convergence theory and its compactness properties for integral functionals.

Explores applications to homogenization theory, phase transitions, and singular perturbations in differential equations.

Examines boundary value problems in irregularly perturbed domains using variational convergence methods.

Demonstrates connections between gamma-convergence and other variational convergences in nonlinear analysis.

Part of Birkhauser's established Progress in Nonlinear Differential Equations and Their Applications series.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
01 January 1993
Listed Since
12 January 2007

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