Schauder and Calderón–Zygmund type estimates for fully nonlinear parabolic equations under “small ellipticity aperture” and applications

JV da Silva, MS Santos - Nonlinear Analysis, 2024 - Elsevier
In this manuscript, we derive some Schauder estimates for viscosity solutions to non-convex
fully nonlinear second-order parabolic equations of the form:∂ tu− F (x, t, D 2 u)= f (x, t) in Q …

An asymptotic treatment for non-convex fully nonlinear elliptic equations: Global Sobolev and BMO type estimates

JV Da Silva, GC Ricarte - Communications in Contemporary …, 2019 - World Scientific
In this paper, we establish global Sobolev a priori estimates for L p-viscosity solutions of fully
nonlinear elliptic equations as follows: F (D 2 u, D u, u, x)= f (x) in Ω u (x)= φ (x) on∂ Ω by …

Asymptotic methods in regularity theory for nonlinear elliptic equations: a survey

EA Pimentel, MS Santos - PDE models for multi-agent phenomena, 2018 - Springer
We survey recent asymptotic methods introduced in regularity theory for fully nonlinear
elliptic equations. Our presentation focuses mainly on the recession function. We detail the …

[PDF][PDF] Weighted Orlicz regularity estimates for fully nonlinear elliptic equations with asymptotic convexity

M Lee - Commun. Contemp. Math, 2019 - utupub.fi
WEIGHTED ORLICZ REGULARITY ESTIMATES FOR FULLY NONLINEAR ELLIPTIC
EQUATIONS WITH ASYMPTOTIC CONVEXITY 1. Introduction In this pa Page 1 WEIGHTED …

Schauder and Calder\'on-Zygmund type estimates for fully nonlinear parabolic equations under" small ellipticity aperture" and applications

JV da Silva, MS Santos - arXiv preprint arXiv:2311.02524, 2023 - arxiv.org
In this manuscript, we derive Schauder estimates for viscosity solutions to non-convex fully
nonlinear second-order parabolic equations\[\partial_t uF (x, t, D^ 2u)= f (x, t)\quad\text …

Geometric regularity theory for a time-dependent Isaacs equation

PDS Andrade, GC Rampasso, MS Santos - … Differential Equations and …, 2022 - Springer
The purpose of this work is to produce a regularity theory for a class of parabolic Isaacs
equations. Our techniques are based on approximation methods which allow us to connect …

Regularidade elíptica para modelos não-lineares com condição de bordo oblíquo e aplicações

JS Bessa - 2024 - repositorio.ufc.br
A Teoria de regularidade para soluçoes no sentido da viscosidade de equaçoes elıpticas
totalmente nao-lineares é um tópico de muito interesse para vários pesquisadores. Um dos …

Hessian estimates for fully nonlinear equations via the large-M-inequality principle

M Lee, J Ok - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
The approach using the large-M-inequality principle introduced by Acerbi and Mingione [2]
has been broadly used in W 1, p-regularity theory for nonlinear equations in divergence …

Local estimates for fully nonlinear parabolic equations in weighted spaces.

M Lee, J Ok - Mathematical Methods in the Applied Sciences, 2022 - search.ebscohost.com
Local estimates for fully nonlinear parabolic equations in weighted spaces Page 1 Received: 12
November 2020 Accepted: 10 January 2021 DOI: 10.1002/mma.7259 SPECIAL ISSUE PAPER …

WEIGHTED SOBOLEV REGULARITY OF VISCOSITY SOLUTIONS FOR FULLY NONLINEAR PARABOLIC EQUATIONS

M Lee - East Asian mathematical journal, 2022 - koreascience.kr
WEIGHTED SOBOLEV REGULARITY OF VISCOSITY SOLUTIONS FOR FULLY
NONLINEAR PARABOLIC EQUATIONS 1. Introduction The paper is devoted Page 1 East …