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Sometimes part of the transmitted wave travels to the receiver by reflection off a smooth boundary whose edge irregularities are only a fraction of the transmitted wavelength.
This method was originally developed for the Laplacian with a smooth metric and a smooth boundary.
Let (Omegasubsetmathbf{R}^{2}) be a bounded domain with a smooth boundary Γ.
where Ω is a bounded domain in R N ( N ≥ 1 ) with a smooth boundary ∂ Ω.
Let (Thetasubsetboldsymbol {R}^{2}) be a bounded convex polygonal domain with a smooth boundary ∂Θ.
Let be an open bounded domain in,, with a smooth boundary.
Let Ω be a bounded open set of (mathbb{R}^{n}) with a smooth boundary Γ.
where Ω ⊂ R N is a bounded domain with a smooth boundary ∂ Ω.
Let (Omegasubset mathbb{R}^{N}) be an open and bounded set with a smooth boundary ∂Ω.
Suppose that Ω is a bounded domain of (R^{l^{ast}}) with a smooth boundary ∂Ω.
Suppose that is a bounded domain with a smooth boundary and.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com