Construction of a singular elliptic-harmonic measure |
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Authors: | Luciano Modica Stefano Mortola |
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Institution: | (1) Istituto di Matematica Leonida Tonelli, Via F. Buonarroti, 2, I-56100 Pisa, (Italy) |
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Abstract: | The authors study an example, suggested by E. De Giorgi, of a second-order uniformly elliptic partial differential operator in divergence form with continuous coefficients on a smooth domain in the plane such that the associated harmonic measure on the boundary is not absolutely continuous with respect to the ordinary surface measure. |
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