Boundary Integral Equations on Contours with PeaksSpringer Science & Business Media, 8 gen 2010 - 344 pagine 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. |
Sommario
| 4 | |
| 5 | |
3 | 55 |
Boundary Integral Equations in Hölder Spaces on a Contour with Peak | 101 |
Asymptotic Formulae for Solutions of Boundary Integral | 215 |
Bibliography | 335 |
Altre edizioni - Visualizza tutto
Boundary Integral Equations on Contours with Peaks Vladimir Maz'ya,Alexander Soloviev Anteprima non disponibile - 2009 |
Boundary Integral Equations on Contours with Peaks Vladimir Maz'ya,Alexander Soloviev Anteprima non disponibile - 2010 |
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admits the estimate admits the representation asymptotic belongs boundary data boundary integral equations boundary value problem c₁ change of variables coefficients conformal mapping conjugate function constant continuous contour defined denote differentiable Dirichlet problem displacement vector domain double layer potential equal Əng Fext follows Fourier transform Hardy's inequality Hardy's inequality 1.22 harmonic extension harmonic function Hence Hölder Hölder condition Hölder spaces holomorphic implies integral equation jump formula kernel Lemma Let N+ limit relation linear Lodd log dsq min{µ Neumann problem norm normal derivative obtain operator outward peak peak and let Proof Proposition 1.3.4 prove right-hand side single layer potential solution solvable space Theorem upper half-plane Vo(z x+(x zero α+β πσ ән Әп дп