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Boundary value problems for second order elliptic equations
Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965. This seven-...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
Amsterdam,
North-Holland Pub. Co.,
1968.
|
| Colección: | North-Holland series in applied mathematics and mechanics ;
v. 5. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
MARC
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| 100 | 1 | |a Bi�t�sadze, A. V. |q (Andre�i Vasil�evich), |d 1916-1994. | |
| 240 | 1 | 0 | |a Kraevye zadachi dlia ellipticheskikh uravnenii. |l English |
| 245 | 1 | 0 | |a Boundary value problems for second order elliptic equations |c By A.V. Bitsadze. Translated from the Russian by Scripta Technica, ltd. Translation edited by M.J. Laird. |
| 260 | |a Amsterdam, |b North-Holland Pub. Co., |c 1968. | ||
| 300 | |a 1 online resource (212 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland series in applied mathematics and mechanics ; |v v. 5 | |
| 504 | |a Includes bibliographical references (pages 203-208). | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 520 | |a Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965. This seven-chapter text is devoted to a study of the basic linear boundary value problems for linear second order partial differential equations, which satisfy the condition of uniform ellipticity. | ||
| 505 | 0 | |a Front Cover; Boundary Value Problems: For Second Order Elliptic Equations; Copyright Page; Preface; Table of Contents; Chapter I. INTRODUCTORY REMARKS; 1. Some definitions and notations; 2. General information on second order elliptic equations and boundary value problems; 3. Fundamental aspects of the theory of linear equations in normed linear spaces; 4. Fredholm integral equations of the second kind; 5. Singular integral equations; 6. Fredholm integral equations of the first kind; 7. Conventional classification of boundary value problems | |
| 505 | 8 | |a Chapter II. CERTAIN QUALITATIVE AND CONSTRUCTIVE PROPERTIES OF THE SOLUTIONS OF ELLIPTIC EQUATIONS1. The extremum principle; 2. The Hopf principle; 3. The Zaremba-Giraud principle; 4. The extremum principle for a class of elliptic systems; 5. Adjoint operators. Green's formula; 6. Existence of solutions; 7. Elementary solutions; 8. The principle elementary solution; 9. Generalised potentials and their properties; 10. General representation of the solutions of a class of elliptic systems; 11. Harmonic potentials of a simple and double layer and integrals of Cauchy type | |
| 505 | 8 | |a Chapter III. THE DIRICHLET PROBLEM FOR A SECOND ORDER ELLIPTIC EQUATION1. Formulation of the problem. Uniqueness of the solution.; 2. Existence of a solution of the problem (2.1), (3.1); 3. The Dirichlet problem for the Laplace equation in two independent variables. Green's function; 4. The Riemann-Hilbert problem and integral representations of holomorphic functions; Chapter IV. THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS; 1. Preliminary remarks; 2. Uniqueness of the solution of the Dirichlet problem; 3. Elliptic systems (4.1) with the principal part in the form of the Laplace operator | |
| 505 | 8 | |a 4. The Dirichlet problem for the elliptic system (4.11) with analytic coefficients5. The Dirichlet problem for system (4.1); 6. General representation of the solutions of system (4.71); 7. The Dirichlet problem for a weakly connected system (4.71); 8. Some remarks concerning strongly connected systems; 9. The Dirichlet problem for system (4.96); 10. Influencing effect of coefficients of the smaller derivatives .; Chapter V. THE DIRECTIONAL DERIVATIVE PROBLEM FOR EQUATION (2.1) WHEN THE DIRECTION OF INCLINATION IS NOT TANGENTIAL TO THE BOUNDARY; 1. Formulation of the problem | |
| 505 | 8 | |a 2. Investigation of the Neumann problem3. The adjoint problem; 4. Investigation of the directional derivative problem (5.1), (5.2) when condition (5.4) is satisfied; Chapter VI. THE POINCAR�E PROBLEM FOR SECOND ORDER ELLIPTIC SYSTEMS IN TWO INDEPENDENT VARIABLES; 1. General remarks; 2. The Poincar�e problem for system (4.18) with analytic coefficients; 3. Certain special cases of the problem (4.18), (6.1); 4. The Poincar�e problem for the uniformly elliptic system (4.1).; 5. The Poincar�e problem for elliptic systems (4.71) with constant coefficients | |
| 650 | 0 | |a Differential equations, Elliptic. | |
| 650 | 0 | |a Boundary value problems. | |
| 650 | 6 | |a �Equations diff�erentielles elliptiques. |0 (CaQQLa)201-0041232 | |
| 650 | 6 | |a Probl�emes aux limites. |0 (CaQQLa)201-0019897 | |
| 650 | 7 | |a Boundary value problems |2 fast |0 (OCoLC)fst00837122 | |
| 650 | 7 | |a Differential equations, Elliptic |2 fast |0 (OCoLC)fst00893458 | |
| 650 | 1 | 7 | |a Elliptische differentiaalvergelijkingen. |2 gtt |
| 650 | 1 | 7 | |a Randwaardeproblemen. |2 gtt |
| 776 | 0 | 8 | |i Print version: |a Bi�t�sadze, A.V. (Andre�i Vasil�evich), 1916- |s Kraevye zadachi dlia ellipticheskikh uravnenii. English. |t Boundary value problems for second order elliptic equations. |d Amsterdam, North-Holland Pub. Co., 1968 |w (DLC) 68021422 |w (OCoLC)441976 |
| 830 | 0 | |a North-Holland series in applied mathematics and mechanics ; |v v. 5. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780123957474 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/01675931/5 |z Texto completo |