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Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization

Hedy Attouch, Giuseppe Buttazzo, and Gérard Michaille
Publisher: 
SIAM
Publication Date: 
2006
Number of Pages: 
634
Format: 
Paperback
Series: 
MPS-SIAM Series on Optimization
Price: 
140.00
ISBN: 
0-89871-600-4
Category: 
Monograph
We do not plan to review this book.

 Preface; Chapter 1: Introduction; Part I: First Part: Basic Variational Principles; Chapter 2: Weak solutions methods in variational analysis; Chapter 3: Abstract variational principles; Chapter 4: Complements on measure theory; Chapter 5: Sobolev spaces; Chapter 6: Variational problems: Some classical examples; Chapter 7: The finite element method; Chapter 8: Spectral Analysis of the Laplacian; Chapter 9: Convex duality and optimization; Part II: Second Part: Advanced Variational Analysis. Chapter 10: Spaces BV and SBV; Chapter 11: Relaxation in Sobolev, BV and Young measures spaces; Chapter 12: г-convergence and applications; Chapter 13: Integral functionals of the calculus of variations; Chapter 14: Application in mechanics and computer vision; Chapter 15: Variational problems with a lack of coercivity; Chapter 16: An introduction to shape optimization problems; Bibliography; Index.

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