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

DOI10.1007/s11118-015-9504-3zbMath1335.35152OpenAlexW2138151508MaRDI QIDQ5962763

Diego Maldonado

Publication date: 23 February 2016

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-015-9504-3

zbMATH Keywords

Harnack's inequalityLinearized parabolic Monge-Ampère equationMonge-Ampère measure

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Degenerate parabolic equations (35K65) Second-order parabolic equations (35K10) Parabolic Monge-Ampère equations (35K96)

Related Items (1)

Linear parabolic operators of Monge-Ampère. I: Nondivergence-form degenerate/singular PDEs

Cites Work

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• Regularity for parabolic integro-differential equations with very irregular kernels
• A mean-value inequality for non-negative solutions to the linearized Monge-Ampère equation
• On the \(W^{2,1+\varepsilon }\)-estimates for the Monge-Ampère equation and related real analysis
• Harnack's inequality for solutions to the linearized Monge-Ampère operator with lower-order terms
• The Monge-Ampère quasi-metric structure admits a Sobolev inequality
• Properties of the solutions of the linearized Monge-Ampere equation
• Harnack inequality for the linearized parabolic Monge-Ampère equation
• Geometric properties of the sections of solutions to the Monge-Ampère equation
• Real analysis related to the Monge-Ampère equation
• The Monge-Ampère equation

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