We study the convergence of solutions of Hamilton-Jacobi equations on domains with small scale periodic structure as the frequency of periodicity tends to infinity. We treat both the Neumann-type and the Dirichlet boundary value problems. The limit functions are characterized as unique solutions of Hamilton-Jacobi equations with the Hamiltonians determined by the corresponding cell problems.
|Number of pages||48|
|Journal||Indiana University Mathematics Journal|
|Publication status||Published - 1998 Sep|
ASJC Scopus subject areas