3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.CA2019
A class of nowhere differentiable functions satisfying some concavity type estimate
Yasuhiro Fujita, Nao Hamamuki, Antonio Siconolfi +1
In this paper, we introduce and investigate a class P of continuous and periodic functions on R. The class P is defined so that second-order central differences of a function satis…
math.AP2015★ 3 cited
A rigorous setting for the reinitialization of first order level set equations
Nao Hamamuki, Eleftherios Ntovoris
In this paper we set up a rigorous justification for the reinitialization algorithm. Using the theory of viscosity solutions, we propose a well-posed Hamilton-Jacobi equation with…
math.AP2014
On cell problems for Hamilton-Jacobi equations with non-coercive Hamiltonians and its application to homogenization problems
Nao Hamamuki, Atsushi Nakayasu, Tokinaga Namba
We study a cell problem arising in homogenization for a Hamilton-Jacobi equation whose Hamiltonian is not coercive. We introduce a generalized notion of effective Hamiltonians by a…