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Viser: Calculus of Variations
Calculus of Variations Vital Source e-bog
Filip Rindler
(2018)
Calculus of Variations Vital Source e-bog
Filip Rindler
(2018)
Calculus of Variations Vital Source e-bog
Filip Rindler
(2018)
Calculus of Variations
Filip Rindler
(2018)
Sprog: Engelsk
Detaljer om varen
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Springer Nature (Juni 2018)
- ISBN: 9783319776378
Bookshelf online: 5 år fra købsdato.
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Detaljer om varen
- Vital Source 90 day rentals (dynamic pages)
- Udgiver: Springer Nature (Juni 2018)
- ISBN: 9783319776378R90
Bookshelf online: 90 dage fra købsdato.
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- Vital Source 180 day rentals (dynamic pages)
- Udgiver: Springer Nature (Juni 2018)
- ISBN: 9783319776378R180
Bookshelf online: 180 dage fra købsdato.
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Detaljer om varen
- Paperback
- Udgiver: Springer International Publishing AG (Juni 2018)
- ISBN: 9783319776361
Starting from ten motivational examples, the book begins with the most important aspects of the classical theory, including the Direct Method, the Euler-Lagrange equation, Lagrange multipliers, Noether's Theorem and some regularity theory. Based on the efficient Young measure approach, the author then discusses the vectorial theory of integral functionals, including quasiconvexity, polyconvexity, and relaxation. In the second part, more recent material such as rigidity in differential inclusions, microstructure, convex integration, singularities in measures, functionals defined on functions of bounded variation (BV), and Γ-convergence for phase transitions and homogenization are explored.
While predominantly designed as a textbook for lecture courses on the calculus of variations, this book can also serve as the basis for a reading seminar or as a companion for self-study. The reader is assumed to be familiar with basic vector analysis, functional analysis, Sobolev spaces, and measure theory, though most of the preliminaries are also recalled in the appendix.
Part I Basic Course.- 1 Introduction.- 2 Convexity.- 3 Variations.- 4 Young Measures.- 5 Quasiconvexity.- 6 Polyconvexity.- 7 Relaxation.-
Part II Advanced Topics.- 8 Rigidity.- 9 Microstructure.- 10 Singularities.- 11 Linear-Growth Functionals.- 12 Generalized Young Measures.- 13 G-Convergence.- A Prerequisites.- References.- Index.