Title of article
Large time behavior of solutions of Hamilton–Jacobi equations with periodic boundary data Original Research Article
Author/Authors
Hiroyoshi Mitake، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
14
From page
5392
To page
5405
Abstract
We study the large time behavior of viscosity solutions of Hamilton–Jacobi equations with periodic boundary data on bounded domains. We establish a result on convergence of viscosity solutions to state constraint asymptotic solutions or periodic asymptotic solutions depending on the sign of critical value as time goes to infinity.
Keywords
Aubry set , Cauchy–Dirichlet problem , Periodic solution , Large-time behavior , Hamilton–Jacobi equations
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
861644
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