Fully nonlinear parabolic equations in two space variables

2004/02/14 by Ben Andrews, Andrews, Ben · 5 citations
Computer Science · Mathematics · #35K55 (Primary) 35B65 (Secondary) #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP #msc:35B65 #msc:35K55

paper · pdf · doi:10.48550/arxiv.math/0402235

8 pages, AMSTeX, uses amsppt.sty

arxiv created 2004/02/14 · openalex publication_date 2004/02/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Hölder estimates for second derivatives are proved for solutions of fully nonlinear parabolic equations in two space variables. Related techniques extend the regularity theory for fully nonlinear parabolic equations in higher dimensions.

Citations

• On the solutions of quasi-linear elliptic partial differential equations

Cited by

• Optimal Control with Expectation Constraint in a Smooth Boundary Case
• Extension of two-dimensional mean curvature flow with free boundary
• Surfaces expanding by the inverse Gauss curvature flow
• New curvature flows in complex geometry
• Evolution of starshaped hypersurfaces by general curvature functions

Related

• Further time regularity for fully non-linear parabolic equations
• Regularity for Fully Nonlinear Parabolic Equations with Oblique Boundary Data
• On estimates for fully nonlinear parabolic equations on Riemannian manifolds
• Interpolated time-Hölder regularity of solutions of fully nonlinear parabolic equations
• Regularity for solutions of non local parabolic equations