An Example of Fractal Singular Homogenization
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Abstract We construct a sequence of quadratic weighted energy forms in an open domain of the plane, that 𝑀-converges to an energy form with a singular fractal term. The weights belong to the Muckenoupt class 𝐴2 and have pointwise singularities. The result implies the spectral convergence of a sequence of second-order weighted elliptic operators in divergence form in the plane to a singular elliptic operator with a second order fractal term.
2014 ◽
Vol 17
(01)
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pp. 1450017
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2006 ◽
Vol 74
(1)
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pp. 91-100
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1991 ◽
Vol 113
(3)
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pp. 701-701
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