Schauder and Calderón-Zygmund type estimates for fully nonlinear parabolic equations under ``small ellipticity aperture and applications

DOI10.1016/j.na.2024.113578zbMATH Open1547.35141MaRDI QIDQ6591660

João Vítor da Silva, Makson S. Santos

Publication date: 22 August 2024

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

fully nonlinear parabolic equationsSchauder and Calderón-Zygmund estimatessmall ellipticity aperture

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) Viscosity solutions to PDEs (35D40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quadratic expansions and partial regularity for fully nonlinear uniformly parabolic equations
• Sequences of convex functions and estimates of the maximum of the solution of a parabolic equation
• Interior \(C^{2,\alpha}\) regularity theory for a class of nonconvex fully nonlinear elliptic equations.
• Sharp regularity estimates for second order fully nonlinear parabolic equations
• Interior Sobolev regularity for fully nonlinear parabolic equations
• Schauder type estimates for ``flat viscosity solutions to non-convex fully nonlinear parabolic equations and applications
• Fully nonlinear parabolic equations and the Dini condition
• \( W^{2, p} \)-regularity for asymptotically regular fully nonlinear elliptic and parabolic equations with oblique boundary values
• Geometric regularity theory for a time-dependent Isaacs equation
• Interior pointwise \(C^{2 , \alpha}\) regularity for fully nonlinear elliptic equations
• Improved regularity for the parabolic normalized \(p\)-Laplace equation
• Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces
• On parabolic equations whose coefficients do not satisfy the Dini condition
• New regularity estimates for fully nonlinear elliptic equations
• On the Existence of Smooth Solutions for Fully Nonlinear Parabolic Equations with Measurable “Coefficients” without Convexity Assumptions
• An Introduction to Fully Nonlinear Parabolic Equations
• Partial regularity of solutions of fully nonlinear, uniformly elliptic equations
• A Counterexample toC^2,1Regularity for Parabolic Fully Nonlinear Equations
• BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS IN A DOMAIN
• On an Aleksandrov-Bakel'Man Type Maximum Principle for Second-Order Parabolic Equations
• Classical solutions of fully nonlinear, convex, second-order elliptic equations
• On the regularity theory of fully nonlinear parabolic equations: I
• On the regularity theory of fully nonlinear parabolic equations: II
• L^p- Theory for fully nonlinear uniformly parabolic equations
• Singular solutions to parabolic equations in nondivergence form
• A Priori Estimates for Fully Nonlinear Parabolic Equations
• Pointwise estimates for the heat equation. Application to the free boundary of the obstacle problem with Dini coefficients
• \(C^{1, \alpha}\)-regularity for functions in solution classes and its application to parabolic normalized \(p\)-Laplace equations
• Regularity theory for fully nonlinear parabolic obstacle problems

This page was built for publication: Schauder and Calderón-Zygmund type estimates for fully nonlinear parabolic equations under ``small ellipticity aperture and applications