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Preface and summary | ||
Remarks on notation | ||
Pt. 1 | One-dimensional variational problems | 1 |
1 | The classical theory | 3 |
2 | A geometric example: geodesic curves | 32 |
3 | Saddle point constructions | 62 |
4 | The theory of Hamilton and Jacobi | 79 |
5 | Dynamic optimization | 104 |
Pt. 2 | Multiple integrals in the calculus of variations | 115 |
1 | Lebesgue measure and integration theory | 117 |
2 | Banach spaces | 125 |
3 | L[superscript p] and Sobolev spaces | 159 |
4 | The direct methods in the calculus of variations | 183 |
5 | Nonconvex functionals. Relaxation | 205 |
6 | [Gamma]-convergence | 225 |
7 | BV-functionals and [Gamma]-convergence: the example of Modica and Mortola | 241 |
App. A | The coarea formula | 257 |
App. B | The distance function from smooth hypersurfaces | 262 |
8 | Bifurcation theory | 266 |
9 | The Palais-Smale condition and unstable critical points of variational problems | 291 |
Index | 319 |
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Add Calculus of Variations, This textbook on the calculus of variations leads the reader from the basics to modern aspects of the theory. One-dimensional problems and the classical issues such as Euler-Lagrange equations are treated, as are Noether's theorem, Hamilton-Jacobi theory,, Calculus of Variations to the inventory that you are selling on WonderClubX
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Add Calculus of Variations, This textbook on the calculus of variations leads the reader from the basics to modern aspects of the theory. One-dimensional problems and the classical issues such as Euler-Lagrange equations are treated, as are Noether's theorem, Hamilton-Jacobi theory,, Calculus of Variations to your collection on WonderClub |