Abstract
SynopsisWe demonstrate how a fairly simple “perturbed test function” method establishes periodic homogenisation for certain Hamilton-Jacobi and fully nonlinear elliptic partial differential equations. The idea, following Lions, Papanicolaou and Varadhan, is to introduce (possibly nonsmooth) correctors, and to modify appropriately the theory of viscosity solutions, so as to eliminate then the effects of high-frequency oscillations in the coefficients.
Publisher
Cambridge University Press (CUP)
Reference19 articles.
1. Exit Time Problems in Optimal Control and Vanishing Viscosity Method
2. Some properties of viscosity solutions of Hamilton-Jacobi equations
3. 8 Weinan E. Homogenization of conservation laws (preprint, UCLA, 1988).
4. 14 Jensen R. . Uniqueness criteria for viscosity solutions of fully nonlinear elliptic partial differential equations (preprint).
Cited by
211 articles.
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