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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…