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Spectral Problems Associated With Corner Singularities of Solutions of Elliptic Equations (Mathematical Surveys & Monographs) - Hardcover
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For mathematicians who work in partial differential equations, spectral analysis, asymptotic methods, and their applications, Kozlov and colleagues V. G. Maz'ya and J. Rossmann explain singularities of solutions to classical problems of mathematical physics as well as to general elliptic equations and systems. They assume an undergraduate- level facility with partial differential equations and functional analysis. The first section is devoted to the power-logarithmic singularities of solutions to classical boundary value problems, and the second to similar singularities for higher-order elliptic equations and systems. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations (Mathematical Surveys and Monographs)
Verlag:
American Mathematical Society, 2000
ISBN 10: 0821827278
ISBN 13: 9780821827277
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Zustand: New. Focuses on the analysis of eigenvalues and eigenfunctions that describe singularities of solutions to elliptic boundary value problems in domains with corners and edges. This work treats both classical problems of mathematical physics and general elliptic boundary value problems. Series: Mathematical Surveys and Monographs. Num Pages: 436 pages, Illustrations. BIC Classification: PBKJ; PBKS; PBW; PHFC; TGMF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 255 x 179 x 27. Weight in Grams: 976. . 2000. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821827277
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Spectral Problems Associated With Corner Singularities of Solutions of Elliptic Equations
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Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations
Verlag:
American Mathematical Society, US, 2000
ISBN 10: 0821827278
ISBN 13: 9780821827277
Neu
Hardcover
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Hardback. Zustand: New. This book focuses on the analysis of eigenvalues and eigenfunctions that describe singularities of solutions to elliptic boundary value problems in domains with corners and edges. The authors treat both classical problems of mathematical physics and general elliptic boundary value problems. The volume is divided into two parts: the first is devoted to the power-logarithmic singularities of solutions to classical boundary value problems of mathematical physics. The second deals with similar singularities for higher order elliptic equations and systems. Chapter 1 collects basic facts concerning operator pencils acting in a pair of Hilbert spaces. Related properties of ordinary differential equations with constant operator coefficients are discussed and connections with the theory of general elliptic boundary value problems in domains with conic vertices are outlined. New results are presented.Chapter 2 treats the Laplace operator as a starting point and a model for the subsequent study of angular and conic singularities of solutions. Chapter 3 considers the Dirichlet boundary condition beginning with the plane case and turning to the space problems. Chapter 4 investigates some mixed boundary conditions. The Stokes system is discussed in Chapters 5 and 6, and Chapter 7 concludes with the Dirichlet problem for the polyharmonic operator. Chapter 8 studies the Dirichlet problem for general elliptic differential equations of order $2m$ in an angle.In Chapter 9, an asymptotic formula for the distribution of eigenvalues of operator pencils corresponding to general elliptic boundary value problems in an angle is obtained. Chapters 10 and 11 discuss the Dirichlet problem for elliptic systems of differential equations of order $2$ in an $n$-dimensional cone. Chapter 12 studies the Neumann problem for general elliptic systems, in particular with eigenvalues of the corresponding operator pencil in the strip $\mid {\Re} \lambda - m + /2n \mid \leq 1/2$. It is shown that only integer numbers contained in this strip are eigenvalues. Applications are placed within chapter introductions and as special sections at the end of chapters. Prerequisites include standard PDE and functional analysis courses. Bestandsnummer des Verkäufers LU-9780821827277
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Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations (Mathematical Surveys and Monographs)
Verlag:
American Mathematical Society, 2000
ISBN 10: 0821827278
ISBN 13: 9780821827277
Neu
Hardcover
Anbieter: Kennys Bookstore, Olney, MD, USA
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Zustand: New. Focuses on the analysis of eigenvalues and eigenfunctions that describe singularities of solutions to elliptic boundary value problems in domains with corners and edges. This work treats both classical problems of mathematical physics and general elliptic boundary value problems. Series: Mathematical Surveys and Monographs. Num Pages: 436 pages, Illustrations. BIC Classification: PBKJ; PBKS; PBW; PHFC; TGMF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 255 x 179 x 27. Weight in Grams: 976. . 2000. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821827277
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Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations (Mathematical Surveys & Monographs)
Verlag:
American Mathematical Society, 2000
ISBN 10: 0821827278
ISBN 13: 9780821827277
Neu
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Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations
Verlag:
American Mathematical Society, US, 2000
ISBN 10: 0821827278
ISBN 13: 9780821827277
Neu
Hardcover
Anbieter: Rarewaves.com UK, London, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Hardback. Zustand: New. This book focuses on the analysis of eigenvalues and eigenfunctions that describe singularities of solutions to elliptic boundary value problems in domains with corners and edges. The authors treat both classical problems of mathematical physics and general elliptic boundary value problems. The volume is divided into two parts: the first is devoted to the power-logarithmic singularities of solutions to classical boundary value problems of mathematical physics. The second deals with similar singularities for higher order elliptic equations and systems. Chapter 1 collects basic facts concerning operator pencils acting in a pair of Hilbert spaces. Related properties of ordinary differential equations with constant operator coefficients are discussed and connections with the theory of general elliptic boundary value problems in domains with conic vertices are outlined. New results are presented.Chapter 2 treats the Laplace operator as a starting point and a model for the subsequent study of angular and conic singularities of solutions. Chapter 3 considers the Dirichlet boundary condition beginning with the plane case and turning to the space problems. Chapter 4 investigates some mixed boundary conditions. The Stokes system is discussed in Chapters 5 and 6, and Chapter 7 concludes with the Dirichlet problem for the polyharmonic operator. Chapter 8 studies the Dirichlet problem for general elliptic differential equations of order $2m$ in an angle.In Chapter 9, an asymptotic formula for the distribution of eigenvalues of operator pencils corresponding to general elliptic boundary value problems in an angle is obtained. Chapters 10 and 11 discuss the Dirichlet problem for elliptic systems of differential equations of order $2$ in an $n$-dimensional cone. Chapter 12 studies the Neumann problem for general elliptic systems, in particular with eigenvalues of the corresponding operator pencil in the strip $\mid {\Re} \lambda - m + /2n \mid \leq 1/2$. It is shown that only integer numbers contained in this strip are eigenvalues. Applications are placed within chapter introductions and as special sections at the end of chapters. Prerequisites include standard PDE and functional analysis courses. Bestandsnummer des Verkäufers LU-9780821827277
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