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math.AP2022
The wave equation with specular derivatives
Kiyuob Jung, Jehan Oh
In this paper, we construct the transport equation and the wave equation with specular derivatives and solve these equations in one-dimension. To solve these equations, we introduc…
math.CA2022
Regular specular differentiation in Euclidean spaces
Kiyuob Jung, Jehan Oh
We study the regular specular derivative, a generalized derivative defined at every point where both one-sided derivatives exist and are finite. Geometrically, it is the slope of t…