On the large time behavior of solutions of Hamilton-Jacobi equations

Authors
Barles, G Souganidis, PE
Citation
G. Barles et Pe. Souganidis, On the large time behavior of solutions of Hamilton-Jacobi equations, SIAM J MATH, 31(4), 2000, pp. 925-939
Citations number
10
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN journal
00361410 → ACNP
Volume
31
Issue
4
Year of publication
2000
Pages
925 - 939
Database
ISI
SICI code
0036-1410(20000404)31:4<925:OTLTBO>2.0.ZU;2-5
Abstract
We consider the long time behavior of viscosity solutions of first-order Ha milton-Jacobi equations with periodic space dependence. We prove, under sha rp conditions, that as time goes to infinity, solutions converge to solutio ns of the corresponding stationary equation.