48 citations · 201 across the 25 of their papers we have counts for
26 papers
Propagation of minima for nonlocal operators
Isabeau Birindelli, Giulio Galise, Hitoshi Ishii
In this paper we state some sharp maximum principle, i.e. we characterize the geometry of the sets of minima for supersolutions of equations involving the -\emph{th fractional t…
The vanishing discount problem for monotone systems of Hamilton-Jacobi equations: a counterexample to the full convergence
Hitoshi Ishii
In recent years there has been intense interest in the vanishing discount problem for Hamilton-Jacobi equations. In the case of the scalar equation, B. Ziliotto has recently given…
Nonlinear Neumann problems for fully nonlinear elliptic PDEs on a quadrant
Hitoshi Ishii, Taiga Kumagai
We consider the nonlinear Neumann problem for fully nonlinear elliptic PDEs on a quadrant. We establish a comparison theorem for viscosity sub and supersolutions of the nonlinear N…
Hamilton-Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown
Hitoshi Ishii, Kaizhi Wang, Lin Wang +1
We study the Hamilton-Jacobi equations in and in , where the Hamiltonian depends Lipschitz…
An example in the vanishing discount problem for monotone systems of Hamilton-Jacobi equations
Hitoshi Ishii
In recent years, there have been many contributions to the vanishing discount problem for Hamilton-Jacobi equations. In the case of the scalar equation, B. Ziliotto [Convergence of…
Discrete approximation of the viscous HJ equation
Andrea Davini, Hitoshi Ishii, Renato Iturriaga +1
We consider a stochastic discretization of the stationary viscous Hamilton Jacobi equation on the flat d dimensional torus, associated with a Hamiltonian, convex and superlinear in…