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Almost periodic homogenization of Hamilton-Jacobi equations. (English) Zbl 0969.35018
Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 600-605 (2000).
From the introduction: We are concerned here with the asymptotic behavior, as \(\varepsilon\searrow 0\), of the solution \(u^\varepsilon\) of the Hamilton-Jacobi equation \[ u(x)+ h(x, x/\varepsilon, Du(x))= 0\qquad (x\in\mathbb{R}^N), \] where \(\varepsilon\) is a positive constant. We will study the almost periodic homogenization of Hamilton-Jacobi equations. That is, we will assume that the Hamiltonian \(H(x,y,p)\) is almost periodic in \(y\).
For the entire collection see [Zbl 0949.00019].

MSC:
35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
35F05 Linear first-order PDEs
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