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

front-matter-2014......Page 1
chapter-01-introduction-2014......Page 11
chapter-02-weak-solution-methods-in-variational-analysis-2014......Page 15
chapter-03-abstract-variational-principles-2014......Page 72
chapter-04-complements-on-measure-theory-2014......Page 112
chapter-05-sobolev-spaces-2014......Page 152
chapter-06-variational-problems-some-classical-examples-2014......Page 226
chapter-07-the-finite-element-method-2014......Page 292
chapter-08-spectral-analysis-of-the-laplacian-2014......Page 314
chapter-09-convex-duality-and-optimization-2014......Page 340
chapter-10-spaces-bv-and-sbv-2014......Page 398
chapter-11-relaxation-in-sobolev-bv--and-young-measures-spaces-2014......Page 441
chapter-12-convergence-and-applications-2014......Page 490
chapter-13-integral-functionals-of-the-calculus-of-variations-2014......Page 550
chapter-14-application-in-mechanics-and-computer-vision-2014......Page 572
chapter-15-variational-problems-with-a-lack-of-coercivity-2014......Page 601
chapter-16-an-introduction-to-shape-optimization-problems-2014......Page 645
chapter-17-gradient-flows-2014......Page 664
back-matter-2014......Page 772