11 citations · 11 across the 3 of their papers we have counts for
3 papers
math.AP2014
Two approaches to minimax formula of the additive eigenvalue for quasiconvex Hamiltonians
Atsushi Nakayasu
Two different proofs for an inf-sup type representation formula (minimax formula) of the additive eigenvalues corresponding to first-order Hamilton-Jacobi equations are given for q…
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…
math.AP2014★ 11 cited
On metric viscosity solutions for Hamilton-Jacobi equations of evolution type
Atsushi Nakayasu
This paper studies Hamilton-Jacobi equations of evolution type defined in a general metric space. We give a notion of a solution through optimal principles and establish a unique e…