On uniqueness sets of additive eigenvalue problems and applications
Hiroyoshi Mitake,Hiroyoshi Mitake,Hung V. Tran +2 more
- Vol. 146, Iss: 11, pp 4813-4822
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TLDR
In this paper, a simple way to find uniqueness sets for additive eigenvalue problems of first and second order Hamilton-Jacobi equations by using a PDE approach is provided.Abstract:
In this paper, we provide a simple way to find uniqueness sets for additive eigenvalue problems of first and second order Hamilton--Jacobi equations by using a PDE approach. An application in finding the limiting profiles for large time behaviors of first order Hamilton--Jacobi equations is also obtained.read more
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The vanishing discount problem for Hamilton–Jacobi equations in the Euclidean space
Hitoshi Ishii,Antonio Siconolfi +1 more
TL;DR: In this paper, the authors studied the asymptotic behavior of the solutions to a family of discounted Hamilton-Jacobi equations, posed in RN, when the discount factor goes to zero.
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Remarks on large time behavior of level-set mean curvature flow equations with driving and source terms
TL;DR: In this paper, a level-set mean curvature flow equation with driving and source terms is studied and convergence results on the asymptotic behavior of solutions as time goes to infinity are established under some additional assumptions.
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Generalized ergodic problems: Existence and uniqueness structures of solutions
TL;DR: In this article, a generalized ergodic problem (E), which is a Hamilton-Jacobi equation of contact type, in the flat n-dimensional torus was studied. And the uniqueness structures of solutions to (E) in the convex setting by using the nonlinear adjoint method.
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The large time profile for Hamilton--Jacobi--Bellman equations.
TL;DR: In this paper, the authors study the large-time limit of viscosity solutions of the Cauchy problem for second-order Hamilton-Jacobi-Bellman equations with convex Hamiltonians in the torus.
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On the large time behavior of solutions of Hamilton—Jacobi equations
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