Large time behavior of unbounded solutions of first-order Hamilton–Jacobi equations in R N-Reference-Cited by-同舟云学术

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Large time behavior of unbounded solutions of first-order Hamilton–Jacobi equations in R N

Published:2019-03-06 Issue:1-2 Volume:112 Page:1-22
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Barles Guy¹,Ley Olivier²,Nguyen Thi-Tuyen³,Phan Thanh Viet⁴

Affiliation:

1. LMPT, Fédération Denis Poisson, Université François-Rabelais Tours, France. E-mail: Guy.Barles@lmpt.univ-tours.fr

2. IRMAR, INSA Rennes, France

3. Dipartimento di Matematica, Università di Padova, Italy. E-mail: ttnguyen@math.unipd.it

4. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam. E-mail: phanthanhviet@tdt.edu.vn

Publisher

IOS Press

Subject

General Mathematics

Reference24 articles.

1. Y. Achdou, G. Barles, H. Ishii and G.L. Litvinov, Hamilton–Jacobi Equations: Approximations, Numerical Analysis and Applications, Lecture Notes in Mathematics, Vol. 2074, Springer, Heidelberg, 2013, Lecture Notes, from the CIME Summer School held in Cetraro, August 29–September 3, 2011, Edited by Paola Loreti and Nicoletta Anna Tchou, Fondazione CIME/CIME Foundation Subseries.

2. M. Bardi and I. Capuzzo Dolcetta, Optimal Control and Viscosity Solutions of Hamilton–Jacobi–Bellman Equations, Birkhäuser, Boston, MA, 1997.

3. G. Barles, Solutions de Viscosité des Équations de Hamilton–Jacobi, Springer-Verlag, Paris, 1994.

4. A new PDE approach to the large time asymptotics of solutions of Hamilton–Jacobi equations;Barles;Bull. Math. Sci.,2013

5. On unbounded solutions of ergodic problems in R m for viscous Hamilton–Jacobi equations;Barles;Comm. Partial Differential Equations,2016

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1. Asymptotic analysis for Hamilton-Jacobi-Bellman equations on Euclidean space;Journal of Differential Equations;2022-09

2. The turnpike property and the longtime behavior of the Hamilton–Jacobi–Bellman equation for finite-dimensional LQ control problems;Mathematics of Control, Signals, and Systems;2022-06-16

3. Turnpike in optimal control of PDEs, ResNets, and beyond;Acta Numerica;2022-05

4. Remarks on large time behavior of level-set mean curvature flow equations with driving and source terms;Discrete & Continuous Dynamical Systems - B;2020

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