Das asymptotische Verhalten von Toeplitzdeterminanten für einige Klassen von Erzeugerfunktionen

Chapters in this book

1. Frontmatter 1
2. Preface 3
3. Contents 5
4. Invited Lectures
5. Saddle points and nonlinear differential equations 11
6. On optimal control problems described by operator equations in Banach and Hilbert spaces 19
7. Regularity results for some elliptic variational inequalities with bounded measurable coefficients and applications 29
8. Nonlinear equality constraints in optimization problems with set restrictions 41
9. On the speed of c₉-sequences in connection with a lemma of Toeplitz 53
10. On an initial-boundary value problem for the nonlinear Schrodinger equation with selfconsistent potential 75
11. On initial value problems in thermodynamics 89
12. Common properties of nonlinear programming algorithms basing on sequential unconstrained minimizations 107
13. The finite-difference method for a mildly nonlinear elliptic problem 119
14. Finite element analysis of the unilateral contact between elastic bodies 129
15. An inverse problem for "coefficients" in linear equations. Uniqueness and iterative solution 139
16. Nonlinear operators and solvability of operator equations 149
17. On convergence properties of families of maximal monotone operators 155
18. On perturbation of branching problems and secondary branching in the theory of plates 165
19. On a program for the computation of matter transport in river networks 181
20. Existence and regularity theorems for weak solutions to the equations of motion of visco-plastic media 189
21. A necessary and sufficient condition for the regularity of weak solutions to nonlinear elliptic systems of partial differential equations 201
22. Problems in connection with the Hahn-Banach Theorem 211
23. Parabolic problems with free boundaries: Existence and pro perties of solutions; optimal control problems 221
24. Optimization methods for non-linear partial differential equations 233
25. Design sensitivity analysis in structural mechanics 245
26. On optimal control problems in civil-engineering and technology 255
27. Das asymptotische Verhalten von Toeplitzdeterminanten für einige Klassen von Erzeugerfunktionen 267
28. Optimization and best approximation 273
29. Control in coefficients for PDE 287
30. Towards a general-purpose difference scheme for the linear one-dimensional parabolic equation 297
31. Two-component flow round a solid sphere 315
32. To the mathematical treatment of a technical heat control problem 327
33. Communications
34. On the radius of a set in a Hilbert space 337
35. On the variational method without coerciveness 339
36. Special control problems and monotone operators 343
37. A generalization of an optimality theorem 347
38. Mixed variational formulation of unilateral problems 351
39. Sufficient conditions for optimality of a control problem with discrete time 357
40. A controllability problem of nonlinear dynamical systems 361
41. On the convergence of the finite elements method for some initial problem 367
42. On the normality of Lagrange multiplier rules for optimal control problems 371
43. Some methods of solving optimal control problems for free boundary processes 375
44. Ein Approximations-Iterationsverfahren für nichtlineare Volterrasche Integralgleichungen zweiter Art 379
45. Secondary axisymmetric buckled states of thin elastic spherical shells 385
46. Perturbation and branching of the solutions of nonlinear eigenvalue problems 389
47. Zur Existenz der optimalen Steuerung bei Volterraschen Integralgleichungen 395
48. The finite difference method for quasilinear elliptic equations with rapidly increasing coefficients 399
49. A constructive proof of the implicit function theorem for analytic operators 403
50. Some remarks to existence problems of optimal control for parabolic equations 407
51. Construction of local solutions for Maxwell equations 413
52. An abstract equation modelling diffusion in solids with bidisperse pore structure 417
53. Bifurcation of axially compressed circular cylindrical shells with free edges 421
54. On difference approximations of a class of n-dimensional variational inequalities 427
55. On some Stefan like problem 433
56. On a system of nonlinear partial differential equations arising in the theory of heat and mass transfer in a nonlinear second-order fluid 437