Inverse Logarithmic Potential Problem. (Record no. 65221)
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| 000 -LEADER | |
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| fixed length control field | 05880nam a22004933i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3049485 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124348.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s1996 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783110900125 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9789067642026 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3049485 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3049485 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11008843 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaONFJC)MIL807165 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922950426 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA55.C44 1996 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.35 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Cherednichenko, V. G. |
| 245 10 - TITLE STATEMENT | |
| Title | Inverse Logarithmic Potential Problem. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Berlin/Boston : |
| Name of producer, publisher, distributor, manufacturer | De Gruyter, Inc., |
| Date of production, publication, distribution, manufacture, or copyright notice | 1996. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©1996. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (256 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Inverse and Ill-Posed Problems Series ; |
| Volume/sequential designation | v.5 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Introduction -- Chapter 1. Formulation of Inverse Logarithmic Potential Problem. Fundamental Equation -- 1.1 Formulation of inverse problem -- 1.2 Nonlinear boundary value problem for mapping function -- 1.3 The analytic continuation of the potential across a boundary -- 1.4 The boundary analyticity of domain is a solution to an inverse problem -- 1.5 The structure of inverse problem solution. final solvability. Examples -- Chapter 2. Local Solvability of an Inverse Problem -- 2.1 Univalent function variation -- 2.2 Local theorem of existence -- 2.3 Linearization of the boundary value problem -- 2.4 The auxiliary problem -- 2.5 The Newton-Kantorovitch method -- 2.6 The explicit solution of the linear problem -- 2.7 The local uniqueness theorem -- 2.8 The density variation. The equivalent solution set of the inverse problems. Remarks -- 2.9 The complex-valued density case -- 2.10 Existence theorems for the inverse problem for small constant densities -- 2.11 Proof of theorems -- Chapter 3. The Estimate of Bounded Univalent Function Coefficients and Univalent Polynomials -- 3.1 Classical estimates. Classes of bounded functions and with bounded image area -- 3.2 The estimate of univalent polynomials coefficients -- 3.3 The Diedonne-Horowitz inequalities for univalent polynomials -- 3.4 Numerical estimates of univalent polynomials coefficients -- Chapter 4. Mass Potential Estimates. Necessary Conditions for Solvability. A Priori Estimates for Inverse Problem Solution -- 4.1 Exact estimates for a mass potential gradient in the three-dimensional case. Extremal domain -- 4.2 Exact estimates of logarithmic mass potential -- 4.3 A priori estimates for inverse potential problem solution -- 4.4 On zeros of a potential mass gradient -- 4.5 Estimates of mass potential derivatives in a fixed angle. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 4.6 The estimates of the mass potential derivatives in the disk -- 4.7 The estimate of the mass potential based on the Calderon-Zygmund results for the singular integral -- 4.8 The necessary solvability conditions, a priori estimates - using the univalent function theory -- Chapter 5. The Continuation by the Parameter of an Inverse Problem Solution -- 5.1 The dependence of an inverse problem solution on the parameter - a constant density -- 5.2 The theorem on the continuation of a solution by the parameter -- 5.3 Inverse potential problems and univalent functions -- Chapter 6. On the Analyticity and Smoothness of an Inverse Problem Solution -- 6.1 Theorem on the smoothness of inverse problem solutions -- 6.2 Applications of the theorem on smoothness, in connection with free boundary smoothness -- 6.3 Analytical continuation of the potential through the angle points -- Chapter 7. Inverse Linear Problem. Determination of a Density of the Given Domain by its Exterior Potential -- 7.1 Existence theorems. The particular solutions of the inhomogeneous problem construction -- 7.2 Solution of the homogeneous problem. Density of the vanishing external potential -- 7.3 Special classes of domains -- 7.4 Determination of a body's density by the given potential of an elliptic equation -- 7.5 Linear inverse problem in the classes Lp -- Chapter 8. Conjugation of Harmonic and Analytic Functions: Direct and Inverse Problems -- 8.1 Problems of the linear conjugation for harmonic and analytic functions -- 8.2 The particular cases, modifications, applications and generalization of the base conjugation problem -- 8.3 Formulation of inverse problems -- 8.4 Applied inverse problems -- 8.5 Interior inverse problems -- Chapter 9. Applications in Gravity Prospecting and in Magnetic Prospecting. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 9.1 Setting of problems. The algorithm for numerical construction of the equivalent solutions set by the analytically given field -- 9.2 On one approximation method (analytic continuation) for gravitational fields -- 9.3 Examples of the numerical constructing of the equivalent solutions family -- 9.4 Approximation of the anomaly field and determining the object by the random search method -- Bibliography. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | No detailed description available for "Inverse Logarithmic Potential Problem". |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Logarithms. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Cherednichenko, V. G. |
| Title | Inverse Logarithmic Potential Problem |
| Place, publisher, and date of publication | Berlin/Boston : De Gruyter, Inc.,c1996 |
| International Standard Book Number | 9789067642026 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Inverse and Ill-Posed Problems Series |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3049485">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3049485</a> |
| Public note | Click to View |
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