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Riemann–Hilbert Approach to the Elastodynamic Equation: Part I

✍ Scribed by Alexander Its; Elizabeth Its; Julius Kaplunov


Book ID
106456356
Publisher
Springer
Year
2010
Tongue
English
Weight
585 KB
Volume
96
Category
Article
ISSN
0377-9017

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A Riemann–Hilbert Approach to the Laplac
✍ A.S. Fokas; A.A. Kapaev 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 207 KB

Let q x, y satisfy the Laplace equation in an arbitrary convex polygon. By performing the spectral analysis of the equation y ik s q y iq , z s x q iy, z x y Ž . which involves solving a scalar Riemann᎐Hilbert RH problem, we construct an Ž . integral representation in the complex k-plane of q x, y i