Journal
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 31, Issue 4, Pages 925-939Publisher
SIAM PUBLICATIONS
DOI: 10.1137/S0036141099350869
Keywords
Hamilton-Jacobi equations; periodicity; ergodic problem; long time behavior; viscosity solutions; hamiltonian systems
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We consider the long time behavior of viscosity solutions of first-order Hamilton-Jacobi equations with periodic space dependence. We prove, under sharp conditions, that as time goes to infinity, solutions converge to solutions of the corresponding stationary equation.
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