Periodic homogenisation of certain fully nonlinear partial differential equations
1992 ◽
Vol 120
(3-4)
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pp. 245-265
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Keyword(s):
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.
2019 ◽
Vol 29
(4)
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pp. 1563-1619
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2000 ◽
Vol 43
(3)
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pp. 485-510
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2001 ◽
Vol 44
(1)
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pp. 87-102
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1988 ◽
Vol 102
(4)
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pp. 975-975
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2002 ◽
Vol 99
(24)
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pp. 15287-15290
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