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On Harnack's inequality for the linearized parabolic Monge-Ampère equation - MaRDI portal

On Harnack's inequality for the linearized parabolic Monge-Ampère equation (Q5962763)

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scientific article; zbMATH DE number 6544767
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On Harnack's inequality for the linearized parabolic Monge-Ampère equation
scientific article; zbMATH DE number 6544767

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    On Harnack's inequality for the linearized parabolic Monge-Ampère equation (English)
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    23 February 2016
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    This paper generalises in the parabolic setting an analogous result proved for the elliptic Monge-Ampère equation. In this deep paper, the author shows that the parabolic Harnack property stands as an intrinsic feature of the Monge-Ampère quasi-metric structure by proving Harnack's inequality for non-negative solutions to the linearized parabolic Monge-Ampère equation under minimal geometric assumptions.
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    Linearized parabolic Monge-Ampère equation
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    Monge-Ampère measure
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    Harnack's inequality
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