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

DOI10.1016/j.jde.2022.11.032zbMath1505.35258OpenAlexW4310347505MaRDI QIDQ2106550

Publication date: 16 December 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.11.032

zbMATH Keywords

degenerate/singular parabolic PDEs Grushin-type parabolic PDEs linearized parabolic Monge-Ampère operator Monge-Ampère quasi-metric structure

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Second-order parabolic equations (35K10) Singular parabolic equations (35K67) Parabolic Monge-Ampère equations (35K96)

Cites Work

Unnamed Item
Harnack inequality for a subelliptic PDE in nondivergence form
\(W^{1,p}_{\varphi}\)-estimates for Green's functions of the linearized Monge-Ampère operator
Mappings with convex potentials and the quasiconformal Jacobian problem
A mean-value inequality for non-negative solutions to the linearized Monge-Ampère equation
On certain degenerate and singular elliptic PDEs I: nondivergence form operators with unbounded drifts and applications to subelliptic equations
On geometric characterizations for Monge-Ampère doubling measures.
Properties of the solutions to the Monge-Ampère equation
On the axiomatic approach to Harnack's inequality in doubling quasi-metric spaces
On convex functions and elliptic operators
On the Harnack inequality for non-divergence parabolic equations
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
Harnack inequality for nondivergent parabolic operators on Riemannian manifolds
On certain degenerate and singular elliptic PDEs. III: Nondivergence form operators and \(RH_\infty\)-weights
Properties of the solutions of the linearized Monge-Ampere equation
Hölder estimates for solutions of degenerate nondivergence elliptic and parabolic equations
A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS
Harnack inequality for the linearized parabolic Monge-Ampère equation
Nondivergent elliptic equations on manifolds with nonnegative curvature
A T(b) theorem with remarks on analytic capacity and the Cauchy integral
Real analysis related to the Monge-Ampère equation
A note on Lusin's condition (N) for W_loc^1,n-mappings with convex potentials
The Monge-Ampère equation
On Harnack's inequality for the linearized parabolic Monge-Ampère equation

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