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Название: Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization
Авторы: Attouch H., Buttazzo G., Michaille G.
For graduate students and researchers, Attouch (mathematics, U. Montpellier II, France) et al. present a guide to variational analysis, optimization, and partial differential equations (PDEs). After discussing the basics, the authors chart new areas of research on BV spaces. Topics include weak solution methods, abstract variational principles, complements on measure theory, Sobolev spaces, examples of classical variational problems, the finite element method, spectral analysis of the Laplacian, convex duality and optimization, relaxation, integral functionals, application in mechanics and computer vision, and shape optimization problems.