4 papers
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…
Averaging of Hamilton-Jacobi equations over Hamiltonian flows
Hitoshi Ishii, Taiga Kumagai
We study the asymptotic behavior of solutions to the Dirichlet problem for Hamilton-Jacobi equations with large drift terms, where the drift terms are given by the Hamiltonian vect…
Asymptotic analysis for Hamilton-Jacobi equations with large drift term
Taiga Kumagai
We investigate the asymptotic behavior of solutions of Hamilton-Jacobi equations with large drift term in an open subset of two-dimensional Euclidean space. When the drift is given…
A perturbation problem involving singular perturbations of domains for Hamilton-Jacobi equations
Taiga Kumagai
We investigate a singular perturbation for Hamilton-Jacobi equations in an open subset of two dimensional Euclidean space, where the set is determined through a Hamiltonian functio…