Abstract
AbstractIn this paper, we consider the solution to the linear Korteweg‐De Vries (KdV) equation, both homogeneous and forced, on the quadrant 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 approaches the boundary of the quadrant, and their rapid decay as .
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