Linear parabolic operators of Monge-Ampère. I: Nondivergence-form degenerate/singular PDEs (Q2106550)
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scientific article; zbMATH DE number 7633390
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear parabolic operators of Monge-Ampère. I: Nondivergence-form degenerate/singular PDEs |
scientific article; zbMATH DE number 7633390 |
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Linear parabolic operators of Monge-Ampère. I: Nondivergence-form degenerate/singular PDEs (English)
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16 December 2022
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A Harnack inequality for nonnegative strong solutions to inhomogeneous, linear, nondivergence-form parabolic PDEs of Monge-Ampère type is proved. Such parabolic PDEs are shaped by convex functions having certain geometric properties and they include instances of Grushin-type parabolic PDEs as well as other PDEs whose degeneracies/singularities are quantified by the geometric properties of the shaping convex functions. This interesting paper extends, in a non-trivial way, a previous result obtained by the author.
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degenerate/singular parabolic PDEs
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linearized parabolic Monge-Ampère operator
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Grushin-type parabolic PDEs
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Monge-Ampère quasi-metric structure
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