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- W4309836730 abstract "In this paper, we consider the solution to the linear Korteweg-De Vries (KdV) equation, both homogeneous and forced, on the quadrant { x ∈ R + , t ∈ R + } $lbrace xin mathbb {R}^+,tin mathbb {R}^+rbrace$ via the unified transform method of Fokas and we provide a complete rigorous study of the integrals of the formula provided by the method, especially focusing on the explicit verification of the considered initial-boundary-value problems (IBVPs), with generic data, as well as on the uniform convergence of all its derivatives, as ( x , t ) $(x,t)$ approaches the boundary of the quadrant, and their rapid decay as x → ∞ $x;rightarrow ;infty$ ." @default.
- W4309836730 created "2022-11-29" @default.
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- W4309836730 date "2022-11-23" @default.
- W4309836730 modified "2023-10-02" @default.
- W4309836730 title "Boundary behavior of the solution to the linear Korteweg‐De Vries equation on the half line" @default.
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- W4309836730 doi "https://doi.org/10.1111/sapm.12542" @default.
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