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math.AP2017
Estimates for Dirichlet-to-Neumann maps as integro-differential operators
Nestor Guillen, Jun Kitagawa, Russell W. Schwab
Some linear integro-differential operators have old and classical representations as the Dirichlet-to-Neumann operators for linear elliptic equations, such as the 1/2-Laplacian or…
math.AP2017★ 4 cited
Free discontinuities in optimal transport
Jun Kitagawa, Robert McCann
We prove a nonsmooth implicit function theorem applicable to the zero set of the difference of convex functions. This theorem is explicit and global: it gives a formula representin…