抄録
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.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 1011-1058 |
| ページ数 | 48 |
| ジャーナル | Indiana University Mathematics Journal |
| 巻 | 47 |
| 号 | 3 |
| 出版ステータス | Published - 1998 9月 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)