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Boundary Integral Equations on Contours with Peaks (Operator Theory: Advances and Applications, 196) - Hardcover
This book is a comprehensive exposition of the theory of boundary integral equations for single and double layer potentials on curves with exterior and interior cusps. Three chapters cover harmonic potentials, and the final chapter treats elastic potentials.
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- PublisherBirkhäuser
- Publication date2009
- ISBN 10 3034601700
- ISBN 13 9783034601702
- BindingHardcover
- Number of pages355
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Boundary Integral Equations on Contours with Peaks
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Boundary Integral Equations on Contours with Peaks
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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -An equation of the form (x) K(x,y) (y)d (y)= f(x),x X, (1) X is called a linear integral equation. Here (X, )isaspacewith - nite measure and is a complex parameter, K and f are given complex-valued functions. The function K is called the kernel and f is the right-hand side. The equation is of the rst kind if = 0 and of the second kind if = 0. Integral equations have attracted a lot of attention since 1877 when C. Neumann reduced the Dirichlet problem for the Laplace equation to an integral equation and solved the latter using the method of successive approximations. Pioneering results in application of integral equations in the theory of h- monic functions were obtained by H. Poincar e, G. Robin, O. H older, A.M. L- punov, V.A. Steklov, and I. Fredholm. Further development of the method of boundary integral equations is due to T. Carleman, G. Radon, G. Giraud, N.I. Muskhelishvili,S.G.Mikhlin,A.P.Calderon,A.Zygmundandothers. Aclassical application of integral equations for solving the Dirichlet and Neumann boundary value problems for the Laplace equation is as follows. Solutions of boundary value problemsaresoughtin the formof the doublelayerpotentialW andofthe single layer potentialV . In the case of the internal Dirichlet problem and the ext- nal Neumann problem, the densities of corresponding potentials obey the integral equation +W = g (2) and + V = h (3) n respectively, where / n is the derivative with respect to the outward normal to the contour. 344 pp. Englisch. Seller Inventory # 9783034601702
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Boundary Integral Equations on Contours with Peaks (Operator Theory: Advances and Applications) by Maz'ya, Vladimir, Soloviev, Alexander [Hardcover ]
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Boundary Integral Equations on Contours with Peaks
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Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The only book dedicated to boundary integral equations for non-Lipschitz domainsNew method, different from the traditional approach based on the theories of Fredholm and singular integral operatorsDetailed study of both functional analytic . Seller Inventory # 4317877
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Book Description Condition: New. pp. xi + 342. Seller Inventory # 261368130
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Boundary Integral Equations on Contours with Peaks
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Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - An equation of the form (x) K(x,y) (y)d (y)= f(x),x X, (1) X is called a linear integral equation. Here (X, )isaspacewith - nite measure and is a complex parameter, K and f are given complex-valued functions. The function K is called the kernel and f is the right-hand side. The equation is of the rst kind if = 0 and of the second kind if = 0. Integral equations have attracted a lot of attention since 1877 when C. Neumann reduced the Dirichlet problem for the Laplace equation to an integral equation and solved the latter using the method of successive approximations. Pioneering results in application of integral equations in the theory of h- monic functions were obtained by H. Poincar e, G. Robin, O. H older, A.M. L- punov, V.A. Steklov, and I. Fredholm. Further development of the method of boundary integral equations is due to T. Carleman, G. Radon, G. Giraud, N.I. Muskhelishvili,S.G.Mikhlin,A.P.Calderon,A.Zygmundandothers. Aclassical application of integral equations for solving the Dirichlet and Neumann boundary value problems for the Laplace equation is as follows. Solutions of boundary value problemsaresoughtin the formof the doublelayerpotentialW andofthe single layer potentialV . In the case of the internal Dirichlet problem and the ext- nal Neumann problem, the densities of corresponding potentials obey the integral equation +W = g (2) and + V = h (3) n respectively, where / n is the derivative with respect to the outward normal to the contour. Seller Inventory # 9783034601702
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Boundary Integral Equations on Contours with Peaks (Operator Theory: Advances and Applications, 196)
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Book Description Condition: New. New! This book is in the same immaculate condition as when it was published. Seller Inventory # 353-3034601700-new
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Boundary Integral Equations on Contours with Peaks (Operator Theory: Advances and Applications, 196)
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