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ISBN 10: 1611973473
ISBN 13: 9781611973471
Author: Hedy Attouch, Giuseppe Buttazzo, Gerard Michaille
Part I: Basic Variational Principles
Weak Solution Methods in Variational Analysis
Abstract Variational Principles
Complements on Measure Theory
Sobolev Spaces
Variational Problems: Some Classical Examples
The Finite Element Method
Spectral Analysis of the Laplacian
Convex Duality and Optimization
Part II: Advanced Variational Analysis
9. Spaces BV and SBV
10. Relaxation in Sobolev, BV, and Young Measures Spaces
11. Γ-convergence and Applications
12. Integral Functionals of the Calculus of Variations
13. Applications in Mechanics and Computer Vision
14. Variational Problems with a Lack of Coercivity
15. An Introduction to Shape Optimization Problems
16. Gradient Flows
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Tags: Hedy Attouch, Giuseppe Buttazzo, Gerard Michaille, Variational, Sobolev