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math.AP2022
Neumann problem on a torus
Z. Ashtab, J. Morais, R. M. Porter
We consider the Dirichlet-to-Neumann mapping and the Neumann problem for the Laplace operator on a torus, given in toroidal coordinates. The Dirichlet-to-Neumann mapping is express…
math.CV2022★ 1 cited
Quaternionic metamonogenic functions in the unit disk
J. Morais, R. Michael Porter
We construct a set of quaternionic metamonogenic functions (that is, in $\mbox{Ker}(D+λ)$ for diverse ) in the unit disk, such that every metamonogenic function is approximable…