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math-ph2013
Riemann-Hilbert Approach to the Elastodynamic Equation. Half plane
Alexander Its, Elizabeth Its
We show, how the Riemann-Hilbert approach to the elastodynamic equations, which have been suggested in our preceding papers, works in the half-plane case. We pay a special attentio…
math-ph2013
Riemann-Hilbert Approach to the Helmholtz Equation in a quarter-plane. Revisited
Alexander Its, Elizabeth Its
We revisit the Helmholts equation in a quarter-plane in the framework of the Riemann-Hilbert approach to linear boundary value problems suggested in late 90s by A. Fokas. We show t…