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<i><span style="font-size:10.0pt;font-family:"Arial","sans-serif"">Announcing the October 1, 2014, publication by SIAM of:<o:p></o:p></span></i></p>
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<b><span style="font-size:10.0pt;font-family:"Arial","sans-serif""><o:p> </o:p></span></b></p>
<p class="MsoNormal" style="margin-bottom:0in;margin-bottom:.0001pt;line-height:normal">
<b><span style="font-size:10.0pt;font-family:"Arial","sans-serif"">Variational Analysis in Sobolev and BV Spaces:
<i>Applications to PDEs and Optimization, Second Edition<o:p></o:p></i></span></b></p>
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<span style="font-size:10.0pt;font-family:"Arial","sans-serif"">Hedy Attouch, Giuseppe Buttazzo, and Gérard Michaille<o:p></o:p></span></p>
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<i><span style="font-size:10.0pt;font-family:"Arial","sans-serif"">MOS-SIAM Series on Optimization 17<o:p></o:p></span></i></p>
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<span style="font-size:10.0pt;font-family:"Arial","sans-serif""><o:p> </o:p></span></p>
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<span style="font-size:10.0pt;font-family:"Arial","sans-serif"">This volume is an excellent guide for anyone interested in variational analysis, optimization, and PDEs. It offers a detailed presentation of the most important tools in variational analysis as
well as applications to problems in geometry, mechanics, elasticity, and computer vision.<o:p></o:p></span></p>
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<span style="font-size:10.0pt;font-family:"Arial","sans-serif""><o:p> </o:p></span></p>
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<span style="font-size:10.0pt;font-family:"Arial","sans-serif"">Among the new elements in this second edition: the section of Chapter 5 on capacity theory and elements of potential theory now includes the concepts of quasi-open sets and quasi-continuity; Chapter
6 includes an increased number of examples in the areas of linearized elasticity system, obstacles problems, convection-diffusion, and semilinear equations; Chapter 11 has been expanded to include a section on mass transportation problems and the Kantorovich
relaxed formulation of the Monge problem; a new subsection on stochastic homogenization in Chapter 12 establishes the mathematical tools coming from ergodic theory, and illustrates them in the scope of statistically homogeneous materials; Chapter 16 has been
augmented by examples illustrating the shape optimization procedure; and Chapter 17 is an entirely new and comprehensive chapter devoted to gradient flows and the dynamical approach to equilibria.<o:p></o:p></span></p>
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<span style="font-size:10.0pt;font-family:"Arial","sans-serif""><o:p> </o:p></span></p>
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<b><span style="font-size:10.0pt;font-family:"Arial","sans-serif"">Audience<o:p></o:p></span></b></p>
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<span style="font-size:10.0pt;font-family:"Arial","sans-serif"">The book is intended for Ph.D. students, researchers, and practitioners who want to approach the field of variational analysis in a systematic way.<o:p></o:p></span></p>
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<span style="font-size:10.0pt;font-family:"Arial","sans-serif""><o:p> </o:p></span></p>
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<b><span style="font-size:10.0pt;font-family:"Arial","sans-serif"">About the Authors<o:p></o:p></span></b></p>
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<b><span style="font-size:10.0pt;font-family:"Arial","sans-serif"">Hedy Attouch</span></b><span style="font-size:10.0pt;font-family:"Arial","sans-serif""> is a professor in the Institut de Mathématique et de Modélisation de Montpellier II, where he also has
been director of the Laboratory of Convex Analysis and of ACSIOM. His research focuses on variational analysis, convex analysis, continuous optimization, semialgebraic optimization, gradient flows, the interaction among these fields of research, and their
applications. He has published more than 100 articles in international journals and has written 6 books. He serves as editor for several journals on continuous optimization and is responsible for several international research programs.<o:p></o:p></span></p>
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<span style="font-size:10.0pt;font-family:"Arial","sans-serif""><o:p> </o:p></span></p>
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<b><span style="font-size:10.0pt;font-family:"Arial","sans-serif"">Giuseppe Buttazzo</span></b><span style="font-size:10.0pt;font-family:"Arial","sans-serif""> is a professor in the Department of Mathematics at the University of Pisa. He has been a keynote
speaker at many international conferences and workshops on the fields of calculus of variations, nonlinear PDEs, applied mathematics, control theory, and related topics. He is the author of more than 180 scientific publications and 20 books, and he serves
as an editor of several international journals.<o:p></o:p></span></p>
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<span style="font-size:10.0pt;font-family:"Arial","sans-serif""><o:p> </o:p></span></p>
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<b><span style="font-size:10.0pt;font-family:"Arial","sans-serif"">Gérard Michaille</span></b><span style="font-size:10.0pt;font-family:"Arial","sans-serif""> is a professor at the University of Nîmes and member of the UMR-CNRS Institut de Mathématique et de
Modélisation de Montpellier. He works in the areas of variational analysis, homogenization, and the applications of PDEs in mechanics and physics. <o:p></o:p></span></p>
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<b><span style="font-size:10.0pt;font-family:"Arial","sans-serif""><o:p> </o:p></span></b></p>
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<b><span style="font-size:10.0pt;font-family:"Arial","sans-serif"">Contents<o:p></o:p></span></b></p>
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<span style="font-size:10.0pt;font-family:"Arial","sans-serif"">Chapter 1: Introduction; Part I: Basic Variational Principles; Chapter 2: Weak Solution 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: Advanced Variational Analysis;
Chapter 10: Spaces BV and SBV; Chapter 11: Relaxation in Sobolev, BV, and Young Measures Spaces; Chapter 12: Γ-convergence and Applications; Chapter 13: Integral Functionals of the Calculus of Variations; Chapter 14: Applications in Mechanics and Computer
Vision; Chapter 15: Variational Problems with a Lack of Coercivity; Chapter 16: An Introduction to Shape Optimization Problems; Chapter 17: Gradient Flows<o:p></o:p></span></p>
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<span style="font-size:10.0pt;font-family:"Arial","sans-serif"">2014 / xii + 793 pages / Hardcover / 978-1-611973-47-1<o:p></o:p></span></p>
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<span style="font-size:10.0pt;font-family:"Arial","sans-serif"">List Price $141.00 / SIAM/MOS Member Price $98.70 / Order Code MO17<o:p></o:p></span></p>
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<span style="font-size:10.0pt;font-family:"Arial","sans-serif"">To order or for more about this book, including links to its table of contents, preface, and index, please visit
</span><a href="http://bookstore.siam.org/MO17/"><span style="font-size:10.0pt;font-family:"Arial","sans-serif"">http://bookstore.siam.org/MO17/</span></a><span style="font-size:10.0pt;font-family:"Arial","sans-serif""><o:p></o:p></span></p>
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<span style="font-size:10.0pt;font-family:"Arial","sans-serif"">For more information about SIAM books, journals, conferences, memberships, or activities, contact:<o:p></o:p></span></p>
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