Uniqueness and Continuous Dependence of the Null Solution in the Cauchy Problem for a Nonlinear Elliptic System

Chapters in this book

1. Frontmatter I
2. PREFACE 5
3. CONTENTS 7
4. Solution of an Inverse Problem for the Heat Equation by Methods of Modern Potential Theorie 9
5. On an Inverse Eigenvalue Problem with Truncated Spectra Data 25
6. Quasilinear Parabolic Systems with Non-linear Boundary Conditions 35
7. About the Stability of the Optimal Control Solution of Inverse Problems 45
8. The Approximation of Solutions to the Backwards Heat Equation by Solutions of Pseudoparabolic Equations 59
9. Regularization of the Backward Solution of Parabolic Problems 73
10. Zur stochastisehen Kegularisierung nichtkorrekter Gleichungen in Hilberträumen 83
11. Quasi-Linearization and the Identification of Parameters in Partial Differential Equations of Parabolic Type 89
12. Über die Behandlung Inversor Probleme bei streng zeichenfesten Kernen 99
13. Optimal Control of Coefficients in Linear Elliptic Equations II. Necessary Optimality Conditions 105
14. Hadamard's and Optimization-theoretical Instability 115
15. Numerical Treatment of Abel Integral Equations 125
16. On Uniqueness of Solutions for Inverse Problems of Potential Theory 135
17. On Some Inverse Problems for Variational and Quasi-variational Inequalities 141
18. Uniqueness and Continuous Dependence of the Null Solution in the Cauchy Problem for a Nonlinear Elliptic System 151
19. Bemerkung zu einer klassischen Arbeit von J. Blumenfeld und V. Mayer 161
20. Some Problems of Analytic Continuation 165
21. About Inverse Problems in Continuum Mechanics and Solid State Physics 171
22. SH-Wave Propagation in Quasianisotropic Socks: Problem of Partial Differential Equation with Rapidly Oscillating Coefficients 181
23. On the Determination of Functional Parameters in Non-linear Evolution Equations of the Navier-Stokes Type 189
24. Inverse Problems in Growth Dynamics 197
25. Inverse Problems and Energy Inequalities 215
26. On Extremal Solutions of Sturm Liouville Inverse Problems 223
27. Ill-Posed Problems Arising in Boundary Control and Observation for Diffusion Equations 233
28. Identification of a Spatially Varying Coefficient in a Parabolic Equation. A Report on Numerical Experiments 249
29. Some Constructions of Right Inverses and Generalized Inverses 259
30. New Approach to the Solution of the Integral Equation of First Kind 271
31. Regular Method for Solving Nonlinear Problems 289
32. BIBLIOGRAPHY 296