Methods and Applications of Analysis
Volume 15 (2008)
The Large-time Behavior of Solutions of Hamilton-Jacobi Equations on the Real Line
Pages: 223 – 242
We investigate the large-time behavior of solutions of the Cauchy problem for Hamilton-Jacobi equations on the real line $R$. We establish a result on convergence of the solutions to asymptotic solutions as time $t$ goes to infinity.
Large-time behavior; Hamilton-Jacobi equations; asymptotic solutions
2010 Mathematics Subject Classification
35B40, 49L25, 70H20