Chapter 8. Conjugation of Harmonic and Analytic Functions: Direct and Inverse Problems

Kapitel in diesem Buch

1. Frontmatter I
2. Contents V
3. Introduction 1
4. Chapter 1. Formulation of Inverse Logarithmic Potential Problem. Fundamental Equation 7
5. Chapter 2. Local Solvability of an Inverse Problem 41
6. Chapter 3. The Estimate of Bounded Univalent Function Coefficients and Univalent Polynomials 71
7. Chapter 4. Mass Potential Estimates. Necessary Conditions for Solvability. A Priori Estimates for Inverse Problem Solution 85
8. Chapter 5. The Continuation by the Parameter of an Inverse Problem Solution 125
9. Chapter 6. On the Analyticity and Smoothness of an Inverse Problem Solution 139
10. Chapter 7. Inverse Linear Problem. Determination of a Density of the Given Domain by its Exterior Potential 155
11. Chapter 8. Conjugation of Harmonic and Analytic Functions: Direct and Inverse Problems 173
12. Chapter 9. Applications in Gravity Prospecting and in Magnetic Prospecting 205
13. Bibliography 229