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Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations (Mathematical Surveys & Monographs)

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Description:This text 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations (Mathematical Surveys & Monographs). To get started finding Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations (Mathematical Surveys & Monographs), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 0821827278

Description: This text 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations (Mathematical Surveys & Monographs). To get started finding Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations (Mathematical Surveys & Monographs), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations (Mathematical Surveys & Monographs)

Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations (Mathematical Surveys & Monographs)

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