Jurgen Jost, Xianqing Li-Jost

Calculus of Variations

• Gebundenes Buch

Produktbeschreibung

This textbook on the calculus of variations covers from the basics to the modern aspects of the theory.

Produktdetails

• Cambridge Studies in Advanced Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 340
• Erscheinungstermin: 29. September 2003
• Englisch
• Abmessung: 235mm x 157mm x 25mm
• Gewicht: 664g
• ISBN-13: 9780521642033
• ISBN-10: 0521642035
• Artikelnr.: 21575137

Inhaltsangabe

Part I. One-Dimensional Variational Problems: 1. The classical theory
2. Geodesic curves
3. Saddle point constructions
4. The theory of Hamilton and Jacobi
5. Dynamic optimization
Part II. Multiple Integrals in the Calculus of Variations: 6. Lebesgue integration theory
7. Banach spaces
8. Lp and Sobolev spaces
9. The direct methods
10. Nonconvex functionals: relaxation
11. G-convergence
12. BV-functionals and G-convergence: the example of Modica and Mortola
Appendix A. The coarea formula
Appendix B. The distance function from smooth hypersurfaces
13. Bifurcation theory
14. The Palais-Smale condition and unstable critical points of variational problems.