B. Sobolev spaces

Chapters in this book

1. Frontmatter I
2. Preface VII
3. Basic notation XI
4. Contents XIII
5. 1. Introduction 1
6. 2. Generalized formulations of parabolic and hyperbolic problems 9
7. 3. Variational principles in linear elasticity 31
8. 4. Variational statements in structural mechanics 53
9. 5. Ritz method for initial-boundary value problems 71
10. 6. Variational and projection techniques with semi-discretization 113
11. 7. Integrodifferential approach to eigenvalue problems 129
12. 8. Spatial vibrations of elastic beams with convex cross-sections 165
13. 9. Double minimization in optimal control problems 197
14. 10. Semi-discrete approximations in inverse dynamic problems 229
15. 11. Modeling and control in mechatronics 259
16. A. Vectors and tensors 275
17. B. Sobolev spaces 279
18. Bibliography 281
19. Index 287