Atsushi Nakayasu

activity

20142026

most citedOn metric viscosity solutions for Hamilton-Jacobi equations of evolution type

11 citations · 14 across the 9 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.AP2017

Convexity preserving properties for Hamilton-Jacobi equations in geodesic spaces

Qing Liu, Atsushi Nakayasu

We study the convexity preserving property for a class of time-dependent Hamilton-Jacobi equations in a complete geodesic space. Assuming that the Hamiltonian is nondecreasing, we…

math.AP2017★ 1 cited

Integrability of the derivative of solutions to a singular one-dimensional parabolic problem

Atsushi Nakayasu, Piotr Rybka

We study integrability of the derivative of solutions to a singular one-dimensional parabolic equation with initial data in $W^{1, 1}$ . In order to avoid additional difficulties we…