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math.APFeb 14, 2004
40
citations (OpenAlex)
authors
  • Ben Andrews
arXiv abstractPDF
paper

Fully nonlinear parabolic equations in two space variables

arXiv:math/0402235

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.

8 pages, AMSTeX, uses amsppt.sty

Cited by in corpus (13)

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  • New pinching estimates for Inverse curvature flows in space forms
  • Surfaces expanding by non-concave curvature functions
  • Expansion of pinched hypersurfaces of the Euclidean and hyperbolic space by high powers of curvature
  • New curvature flows in complex geometry
  • Christoffel-Minkowski flows
  • Extrinsic curvature flows and applications
  • Surfaces expanding by the inverse Gauss curvature flow
  • Extension of two-dimensional mean curvature flow with free boundary
  • Ancient solutions for Andrews' hypersurface flow
  • Evolution of starshaped hypersurfaces by general curvature functions
  • Evolution of spacelike surfaces in anti-De Sitter space by their Lagrangian angle
  • Surfaces contracting with speed |A|^2
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