The wave equation with specular derivatives

2022/10/13 by Jung, Kiyuob, Oh, Jehan
#26A06 #26A24 #26A27 #26B05 #26B12 #34K39 #35L05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2210.06933

Abstract

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 introduce new function spaces, which we term specular spaces, consisting of certain specularly differentiable functions.

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