Boundary Integral Equations on Contours with Peaks
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 o...
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Andre forfattere: | |
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Basel :
Birkhäuser Basel
2010.
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| Udgivelse: | 1st ed. 2010. |
| Serier: | Operator Theory: Advances and Applications
196 |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Boundary integral equations on contours with peaks, Vladimir G. Maz'ya, Alexander A. Soloviev, Basel, Birkhäuser, 2010, 1 vol. (XI-343 p.), Operator theory, 978-3-03-460170-2 • Boundary Integral Equations on Contours with Peaks, Texte imprimé, 9783034601726 |
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| 020 | |a 9783034601719 | ||
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| 041 | 0 | |a eng | |
| 082 | |a 515.45 | ||
| 084 | |a 45P05. 2000 | ||
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| 100 | 1 | |a Maz½â, Vladimir Gilelevič, |d 1937- | |
| 245 | 1 | 0 | |a Boundary Integral Equations on Contours with Peaks |c by Vladimir G. Maz ya, Alexander A. Soloviev ; edited by Tatyana Shaposhnikova. |
| 250 | |a 1st ed. 2010. | ||
| 256 | |a Données textuelles | ||
| 260 | |a Basel : |b Birkhäuser Basel, |c 2010. | ||
| 490 | 0 | |a Operator Theory: Advances and Applications |v 196 |x 2296-4878 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Lp-theory of Boundary Integral Equations on a Contour with Peak Boundary Integral Equations in Hölder Spaces on a Contour with Peak Asymptotic Formulae for Solutions of Boundary Integral Equations Near Peaks Integral Equations of Plane Elasticity in Domains with Peak | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 538 | |a Nécessite un lecteur de fichier PDF | ||
| 700 | 1 | |a Soloviev, Alexander A., |d 1947-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Shaposhnikova, Tatiana Olegovna, |d 1946- |4 trl |4 edt | |
| 776 | 0 | |0 140056815 |t Boundary integral equations on contours with peaks |f Vladimir G. Maz'ya, Alexander A. Soloviev |c Basel |n Birkhäuser |d 2010 |p 1 vol. (XI-343 p.) |s Operator theory |z 978-3-03-460170-2 | |
| 776 | 0 | |t Boundary Integral Equations on Contours with Peaks |b Texte imprimé |z 9783034601726 | |
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| 856 | 4 | |q PDF |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-5VR0WQDQ-1 |z Accès sur la plateforme Istex | |
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